1. $57.80 The bill is about $58. So, a 20% tip would be $58 divided by 5, which is $11.60.

Size: px
Start display at page:

Download "1. $57.80 The bill is about $58. So, a 20% tip would be $58 divided by 5, which is $11.60."

Transcription

1 End of Chapter Test Name Date Estimate a 20% tip for each of the bills shown. 1. $57.80 The bill is about $58. So, a 20% tip would be $58 divided by 5, which is $ $ The bill is about $122. So, a 20% tip would be $122 divided by 5, which is $ Estimate a 15% tip for each of the bills shown. 3. $57.80 I first rounded the bill to $58. Next, I divided $58 by 10, which is $5.80. Then, I divided this amount in half, which is $2.90. Finally I added these two amounts together to calculate a reasonable 15% tip of $ $ I first rounded the bill to $122. Next, I divided $122 by 10, which is $ Then, I divided this amount in half, which is $6.10. Finally I added these two amounts together to calculate a reasonable 15% tip of $ A printer is normally $ but is discounted to $ What percent of the original price does Hank pay? Percent part 5 of quantity Part Pecent whole Whole quantity x x x 75% Hank would pay about 75% of the original price. Chapter 3 Assessments 1063

2 End of Chapter Test page 2 6. Anthony got 4 problems wrong on a test of 50 questions. What percent of the questions did he get correct? Percent part Pecent whole 5 Part of quantity Whole quantity x part Percent 5 Part of quantity Pecent whole Whole quantity 50x or x x x % 2 8% 5 92% x 5 92% Anthony got 92% of the questions correct. 7. Scott s monthly income is $3500. Scott spends 12% of his monthly income on groceries. a. Calculate the amount Scott spends each month on groceries. Use a Proportion g (3500) 5 g g; g Use a Percent Equation (3500) 5 g 0.12(3500) 5 g g; g Scott spends $420 on groceries each month Chapter 3 Assessments

3 End of Chapter Test page 3 Name Date b. Scott spends $250 each month on his car. What percent of his monthly income does Scott spend on his monthly car payment? Use a Proportion c (100) (250) c c 7 Use a Percent Equation c(3500) c c < 0.07 Scott spends about 7% of his monthly income on his car payment. 8. Complete the table to show the interest earned for different savings principals, interest rates, and time periods. Principal Amount Saved (in dollars) Interest Rate Time (in years) Interest Earned (in dollars) 175 2% % % % Chapter 3 Assessments 1065

4 End of Chapter Test page 4 9. E-tronics Galore marks up their prices to maximize profits. Complete the table to show the percent increase of each item. Round to the nearest whole percent, if necessary. Item Cost Sells For Difference % Increase Computer $540 $680 $140 26% Digital Camera $188 $247 $59 31% MP3 Player $235 $289 $54 23% Mouse and Keyboard $53 $99 $46 87% 10. A computer depreciates about 20% each year. How much would a new computer depreciate the first year if it cost $540? It would depreciate (0.20)(540) 5 $108. A computer that costs $540 would depreciate $108 in the first year. 11. Products at an electronics store cost less if purchased online than in the store. The chart shows the in-store price and the online price. In-Store Price Online Price $50 $45 $75 $67.50 $100 $90 a. Does the online price vary directly with the in-store price? Explain your reasoning. The prices vary directly. The ratio of the online price to the in-store price is always 0.9, or 90%. Therefore, the ratios are equivalent and the two prices are directly proportional Chapter 3 Assessments

5 End of Chapter Test page 5 Name Date b. Define the variables and write an equation to represent the relationship between the in-store price and the online price. Let l represent the online price and let s represent the in-store price. l 5 0.9s c. What is the constant of proportionality? Interpret the constant of proportionality for this problem situation. The constant of proportionality is k The 0.9 means that the online price is 90% of the in-store price. d. What is the online price for a product that costs $92 in the store? l 5 0.9s l 5 0.9(92) l 5 $82.80 A product that costs $92 in the store would cost $82.80 online. 12. A realtor makes 5% commission on each sale. a. Define the variables and write the equation that represents the relationship between the price of a home and the commission received. Let p represent the cost of a home and let c represent the commission the realtor earns from a sale. c p b. How much commission will the realtor earn for selling a $150,000 home? c p c (150,000) c The commission would be $7500. Chapter 3 Assessments 1067

6 End of Chapter Test page 6 c. If the realtor earned a $8750 commission, what was the price of the home? c p p p p 5 $175,000 The price of the home would be $175, Chapter 3 Assessments

Practice Test - Chapter 4

Practice Test - Chapter 4 Use the Distributive Property to write each expression as an equivalent algebraic expression. 1. 6(s + 10) 2. 9(a 4) 3. 5(3 b) 4. 11(m + 7) 5. ENTERTAINMENT Suppose you pay $15 per hour to go horseback

More information

6-3 Using the Percent Equation

6-3 Using the Percent Equation Solve each problem using a percent equation. 1. What is 40% of 75? 30 2. Find 13% of 27. 3.51 3. 30 is what percent of 90? 33 % 4. 15 is what percent of 300? 5% 5. 55 is 20% of what number? 275 6. 24 is

More information

GOOD LUCK! 2. a b c d e 12. a b c d e. 3. a b c d e 13. a b c d e. 4. a b c d e 14. a b c d e. 5. a b c d e 15. a b c d e. 6. a b c d e 16.

GOOD LUCK! 2. a b c d e 12. a b c d e. 3. a b c d e 13. a b c d e. 4. a b c d e 14. a b c d e. 5. a b c d e 15. a b c d e. 6. a b c d e 16. MA109 College Algebra Spring 2017 Exam2 2017-03-08 Name: Sec.: Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam. No books or notes may be used. You may

More information

Unit 9 Percents. Sections

Unit 9 Percents. Sections Name: Per: Week #34 Guides Notes and Homework Unit 9 Percents Sections 6.6-6.9 Learning Objectives: -Solve and write percent equations and problems. -Find percent of increase and decrease. Points Earned

More information

Math Week in Review #1. Perpendicular Lines - slopes are opposite (or negative) reciprocals of each other

Math Week in Review #1. Perpendicular Lines - slopes are opposite (or negative) reciprocals of each other Math 141 Spring 2006 c Heather Ramsey Page 1 Section 1.2 m = y x = y 2 y 1 x 2 x 1 Math 141 - Week in Review #1 Point-Slope Form: y y 1 = m(x x 1 ), where m is slope and (x 1,y 1 ) is any point on the

More information

Cost (in dollars) 0 (free) Number of magazines purchased

Cost (in dollars) 0 (free) Number of magazines purchased Math 1 Midterm Review Name *****Don t forget to study the other methods for solving systems of equations (substitution and elimination) as well as systems of linear inequalities and line of best fit! Also,

More information

Learning Plan 3 Chapter 3

Learning Plan 3 Chapter 3 Learning Plan 3 Chapter 3 Questions 1 and 2 (page 82) To convert a decimal into a percent, you must move the decimal point two places to the right. 0.72 = 72% 5.46 = 546% 3.0842 = 308.42% Question 3 Write

More information

Part B: How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution?

Part B: How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water to make the cleaning solution? Unit Rate: For example, 30 miles in 1 hour, or 30 miles per hour, is a unit rate. 1. A machine packs boxes at a constant rate of 2/3 of a box every 12 minute. What is the number of boxes per minute that

More information

Chapter 6. Production. Introduction. Production Decisions of a Firm. Production Decisions of a Firm

Chapter 6. Production. Introduction. Production Decisions of a Firm. Production Decisions of a Firm Chapter 6 Production Introduction Our study of consumer behavior was broken down into 3 steps Describing consumer preferences Consumers face budget constraints Consumers choose to maximize utility Production

More information

Before How can lines on a graph show the effect of interest rates on savings accounts?

Before How can lines on a graph show the effect of interest rates on savings accounts? Compound Interest LAUNCH (7 MIN) Before How can lines on a graph show the effect of interest rates on savings accounts? During How can you tell what the graph of simple interest looks like? After What

More information

Name Date Class. 2. p = $600, r = 4%, t = 3 years. 4. I = $270, r = 5%, t = 3 years. 6. I = $108, p = $900, t = 3 years

Name Date Class. 2. p = $600, r = 4%, t = 3 years. 4. I = $270, r = 5%, t = 3 years. 6. I = $108, p = $900, t = 3 years Practice A Find each missing value. The first one is done for you. 1. p = $1,000, r = 5%, t = 2 years I = $1,000 0.05 2 I = $100 3. I = $330, r = 3%, t = 1 year = p p = 5. I = $600, p = $2,500, t = 4 years

More information

Compound Interest. Table of Contents. 1 Mathematics of Finance. 2 Compound Interest. 1 Mathematics of Finance 1. 2 Compound Interest 1

Compound Interest. Table of Contents. 1 Mathematics of Finance. 2 Compound Interest. 1 Mathematics of Finance 1. 2 Compound Interest 1 Compound Interest Table of Contents 1 Mathematics of Finance 1 2 Compound Interest 1 3 Compound Interest Computations 3 4 The Effective Rate 5 5 Homework Problems 7 5.1 Instructions......................................

More information

Applications of Exponential Functions Group Activity 7 Business Project Week #10

Applications of Exponential Functions Group Activity 7 Business Project Week #10 Applications of Exponential Functions Group Activity 7 Business Project Week #10 In the last activity we looked at exponential functions. This week we will look at exponential functions as related to interest

More information

1. For each of the following scenarios you will be asked to evaluate the impact of this information on GDP for the economy.

1. For each of the following scenarios you will be asked to evaluate the impact of this information on GDP for the economy. Economics 102 Summer 2015 Answers to Homework #3 Due Thursday, July 9, 2015 Directions: The homework will be collected in a box before the lecture. Please place your name on top of the homework (legibly).

More information

4.1 Ratios and Rates

4.1 Ratios and Rates 4.1 Ratios and Rates Learning Objective(s) 1 Write ratios and rates as fractions in simplest form. 2 Find unit rates. 3 Find unit prices. Introduction Ratios are used to compare amounts or quantities or

More information

Lesson 4 - The Power of Exponential Growth and Decay

Lesson 4 - The Power of Exponential Growth and Decay - The Power of Exponential Growth and Decay Learning Targets: I can recognize situations in which a quantity grows or decays by a constant percent rate. I can write an exponential function to model a real

More information

Winter 2014 Common Assessment 7th grade review. Standardized Test Practice

Winter 2014 Common Assessment 7th grade review. Standardized Test Practice Winter 2014 Common Assessment 7th grade review Standardized Test Practice 1. One serving of almonds contains 5 grams of carbohydrates, which is 2% of the recommended daily allowance. What is the total

More information

6.3 Comparing Functions

6.3 Comparing Functions ? LESSN 6.3 Comparing Functions ESSENTIAL QUESTIN How can you use tables, graphs, and equations to compare functions? Proportionality 8.5.I Write an equation in the form y = mx + b to model a linear relationship

More information

Section 6.5 Applications Involving Percents

Section 6.5 Applications Involving Percents Section 6.5 Applications Involving Percents The focus of this section is to show how to set up a proportion to solve word problems involving real-life applications of percent. If the student needs a review

More information

MLC at Boise State Polynomials Activity 3 Week #5

MLC at Boise State Polynomials Activity 3 Week #5 Polynomials Activity 3 Week #5 This activity will be discuss maximums, minimums and zeros of a quadratic function and its application to business, specifically maximizing profit, minimizing cost and break-even

More information

Grade 7: Chapter 1 Practice Test & Vocabulary Review

Grade 7: Chapter 1 Practice Test & Vocabulary Review Name: Date: Class: Grade 7: Chapter 1 Practice Test & Vocabulary Review 1) Find the unit rate: breaks in hours 2) Find the unit price: for CDs 3) During Tracy s trip across the country, she traveled 2,884

More information

Math 122 Calculus for Business Admin. and Social Sciences

Math 122 Calculus for Business Admin. and Social Sciences Math 122 Calculus for Business Admin. and Social Sciences Instructor: Ann Clifton Name: Exam #1 A July 3, 2018 Do not turn this page until told to do so. You will have a total of 1 hour 40 minutes to complete

More information

Math 154A Elementary Algebra

Math 154A Elementary Algebra Math 154A Elementary Algebra Study Guide for Exam 3 Exam 3 is scheduled for Thursday, October 30 th. You may use a 3" x 5" note card (both sides) and a scientific calculator. You are expected to know (or

More information

27% 27 PER PARTS PER 100 PARTS 33% PER 100 PARTS PER 100 PARTS 113% PER 100 PARTS PER 100 PARTS 2% PER 100 PARTS PER 100 PARTS 100 =

27% 27 PER PARTS PER 100 PARTS 33% PER 100 PARTS PER 100 PARTS 113% PER 100 PARTS PER 100 PARTS 2% PER 100 PARTS PER 100 PARTS 100 = SECTION 7.1 Percents YouTube Video % PER 100 PARTS PER 100 PARTS Fraction 100 Decimal 100 27% 27 PER 100 27 PARTS PER 100 PARTS 27 100 27 100 = 0.27 33% PER 100 PARTS PER 100 PARTS 100 100 = 113% PER 100

More information

The word gives a strong clue to its meaning. Per means out of and Cent means 100 so percentages are numbers out of 100 or 100

The word gives a strong clue to its meaning. Per means out of and Cent means 100 so percentages are numbers out of 100 or 100 Numeracy Introduction to percentages Percentages are commonly used in everyday language to express fractional numbers as whole numbers mostly between zero and one hundred which is the range of numbers

More information

The Monthly Payment. ( ) ( ) n. P r M = r 12. k r. 12C, which must be rounded up to the next integer.

The Monthly Payment. ( ) ( ) n. P r M = r 12. k r. 12C, which must be rounded up to the next integer. MATH 116 Amortization One of the most useful arithmetic formulas in mathematics is the monthly payment for an amortized loan. Here are some standard questions that apply whenever you borrow money to buy

More information

Date Transaction Deposits Withdrawals Balance 3 August 2009 Salary $ $

Date Transaction Deposits Withdrawals Balance 3 August 2009 Salary $ $ CHAPTER REVIEW MULTIPLE CHOICE 1 Anthony earned $1016 in simple interest when he invested $19 800 for 9 months. The rate of simple interest was: A 5.13% B 6.14% C 6.84% D 7.62% E 8.21% 2 With an interest

More information

ANSWERS AND EXPLANATIONS EXERCISE 1

ANSWERS AND EXPLANATIONS EXERCISE 1 www.tarainstitute.in 1 ANSWERS AND EXPLANATIONS EXERCISE 1 1. (a) Percentage profit 0% 1. (c) CP 0 15 + 0 1 ` 60 SP 4 of 60 1 50 ` 18.40. (a) Let the cost price of the article be ` x. Then, (84 x) 6 x

More information

Rates and Percents One Size Fits All? Solving Percent Problems Mathematics and Nutrition. 3.4 Be Mindful of the Fees!

Rates and Percents One Size Fits All? Solving Percent Problems Mathematics and Nutrition. 3.4 Be Mindful of the Fees! Rates and Percents Did you get good service? If you did, it is common to leave a 15% or 20% tip for the waitress or waiter that served you. However, if the service is not good, it is customary to leave

More information

Complete the table below to determine the car s value after each of the next five years. Round each value to the nearest cent.

Complete the table below to determine the car s value after each of the next five years. Round each value to the nearest cent. Student Outcomes Students describe and analyze exponential decay models; they recognize that in a formula that models exponential decay, the growth factor is less than 1; or, equivalently, when is greater

More information

100 = % = 25. a = p w. part of the whole. Finding a Part of a Number. What number is 24% of 50? So, 12 is 24% of 50. Reasonable?

100 = % = 25. a = p w. part of the whole. Finding a Part of a Number. What number is 24% of 50? So, 12 is 24% of 50. Reasonable? 12.1 Lesson Key Vocabulary percent A percent is a ratio whose denominator is 100. Here are two examples. 4 4% = 100 = 0.04 25% = 25 100 = 0.25 The Percent Equation Words To represent a is p percent of

More information

Answers to Assignment Ten

Answers to Assignment Ten Answers to Assignment Ten 1. The table below shows the total production a firm will be able to obtain if it employs varying amounts of factor X while the amounts of the other factors the firm employs remain

More information

MATHS PROJECT Project 1: 7 Rivers, 7 Continents

MATHS PROJECT Project 1: 7 Rivers, 7 Continents MATHS PROJECT Project 1: 7 Rivers, 7 Continents Activity Roll no River /Country Instruction Compare and prepare a fact file of 7 rivers and 7 continents. 1-15 7 Rivers and 7 Continents Amazon (SA) Yamuna(India)

More information

Estimating and Calculating Percents in Money

Estimating and Calculating Percents in Money Estimating and Calculating Percents in Money Examples Canada has a 7% General Sales/Service Tax (GST) on most items. Many provinces have an additional Provincial Sales Tax (PST) that is added to the cost

More information

1) Find the amount of increase or decrease. To do that we will use the following equation:

1) Find the amount of increase or decrease. To do that we will use the following equation: 7.4 Percent Increase or ecrease To do the percent increase or decrease problems we will need to break the problem into two parts. 1) Find the amount of increase or decrease. To do that we will use the

More information

Practice Test for Chapter 4 Ratios and Proportions. a. A is a comparison of two quantities that have different units.

Practice Test for Chapter 4 Ratios and Proportions. a. A is a comparison of two quantities that have different units. 439 Name Date Practice Test for Chapter 4 Ratios and Proportions 1. Use rate or ratio to complete the following statement: a. A is a comparison of two quantities that have different units. Not required

More information

8-6 Applications of Percents

8-6 Applications of Percents Learn to find commission, sales tax, and withholding tax. commission commission rate sales tax withholding tax Vocabulary Real estate agents often work for commission. A commission is a fee paid to a person

More information

GOOD LUCK! 2. a b c d e 12. a b c d e. 3. a b c d e 13. a b c d e. 4. a b c d e 14. a b c d e. 5. a b c d e 15. a b c d e. 6. a b c d e 16.

GOOD LUCK! 2. a b c d e 12. a b c d e. 3. a b c d e 13. a b c d e. 4. a b c d e 14. a b c d e. 5. a b c d e 15. a b c d e. 6. a b c d e 16. MA109 College Algebra Fall 017 Exam 017-10-18 Name: Sec.: Do not remove this answer page you will turn in the entire exam. You have two hours to do this exam. No books or notes may be used. You may use

More information

Retailer Payment Systems: Relative Merits of Cash and Payment Cards. Executive Summary. Economists Incorporated

Retailer Payment Systems: Relative Merits of Cash and Payment Cards. Executive Summary. Economists Incorporated Retailer Payment Systems: Relative Merits of Cash and Payment Cards Executive Summary Economists Incorporated November 19, 2014 Executive Summary Some merchants do not accept credit or debit cards ( payment

More information

2018 Net Compensation Table

2018 Net Compensation Table 2018 Net Compensation Table How to read the table To determine your average weekly wage rate, we start with your calculated gross annual earnings based on your earnings at the time of injury. The annual

More information

Common Review of Graphical and Algebraic Methods

Common Review of Graphical and Algebraic Methods Common Review of Graphical and Algebraic Methods The questions in this review are in pairs. An algebraic version followed by a graph version. Each pair has the same answers. However, do them separately

More information

Lesson Master 7-1B VOCABULARY. USES Objective D. Questions on SPUR Objectives See pages for objectives.

Lesson Master 7-1B VOCABULARY. USES Objective D. Questions on SPUR Objectives See pages for objectives. Back to Lesson 7-1 7-1B VOCABULARY 1. Arturo deposits $3,000 into a savings account. At the end of the year, the bank pays him 4% interest, which amounts to $120. The total amount of money in his account

More information

Calculating Sales and Income Tax

Calculating Sales and Income Tax ? LESSON 13.1 ESSENTIAL QUESTION Calculating Sales and Income Tax How do you calculate sales tax and income tax? financial literacy Calculate the sales tax for a given purchase and calculate income tax

More information

Adding & Subtracting Percents

Adding & Subtracting Percents Ch. 5 PERCENTS Percents can be defined in terms of a ratio or in terms of a fraction. Percent as a fraction a percent is a special fraction whose denominator is. Percent as a ratio a comparison between

More information

1. Math richard/math101. M = monthly payment P = principal r = i/12 = monthly interest rate n = number of months

1. Math richard/math101. M = monthly payment P = principal r = i/12 = monthly interest rate n = number of months 1. Math 101 Mortgages and Annuities Professor Richard Blecksmith richard@math.niu.edu Dept. of Mathematical Sciences Northern Illinois University http://math.niu.edu/ richard/math101 M = where 2. Monthly

More information

Dr. Barry Haworth University of Louisville Department of Economics Economics 201. Midterm #2

Dr. Barry Haworth University of Louisville Department of Economics Economics 201. Midterm #2 Dr. Barry Haworth University of Louisville Department of Economics Economics 201 Midterm #2 Part 1. Multiple Choice Questions (2 points each question) 1. One advantage of forming a corporation is: a. unlike

More information

Practice Final Exam Fall a) Write the equations for the revenue, cost, and profit functions. Let x be the number of batteries.

Practice Final Exam Fall a) Write the equations for the revenue, cost, and profit functions. Let x be the number of batteries. Practice Final Exam Fall 2017 1) A manufacturer sells car batteries for $150 each. The company s fixed costs are $45,000 per month, and marginal costs are $55 per battery. a) Write the equations for the

More information

Read the following situation to determine whether the inequality correctly models the company s information.

Read the following situation to determine whether the inequality correctly models the company s information. Algebra 1 EOC Review #7 m w2q0y1c7h \KquntBaE qsoohfhthwwabrhei vlxlvcc.e a naslzlu BrniVgwhgtosV er_e\sxeerivdeado. Additional Practice 1) Selected-Response Name Date Period Sandra sells necklaces at

More information

Chapter 6. Section 6.1. Chapter 6 Opener. Big Ideas Math Red Worked-Out Solutions. 6.1 Activity (pp ) Try It Yourself (p.

Chapter 6. Section 6.1. Chapter 6 Opener. Big Ideas Math Red Worked-Out Solutions. 6.1 Activity (pp ) Try It Yourself (p. Chapter 6 Opener Try It Yourself (p. ) 6. 6% 5... 5. 6. 7.. % 5 6 7 6% 5 5 7 5% 7 %, or 5 5 5 5%, or 5 5%, or 76 69 9 76% 5 5 Section 6. 6. Activity (pp. 5). a. b. d. f.. a. b. c. d. %. % c. 7 7%.7 e.

More information

$0.00 $0.50 $1.00 $1.50 $2.00 $2.50 $3.00 $3.50 $4.00 Price

$0.00 $0.50 $1.00 $1.50 $2.00 $2.50 $3.00 $3.50 $4.00 Price Orange Juice Sales and Prices In this module, you will be looking at sales and price data for orange juice in grocery stores. You have data from 83 stores on three brands (Tropicana, Minute Maid, and the

More information

Solving Linear Equations

Solving Linear Equations 1.2 Solving Linear Equations GOAL Connect the solution to a linear equation and the graph of the corresponding relation. YOU WILL NEED grid paper ruler graphing calculator LEARN ABOUT the Math Joe downloads

More information

Click on the links below to jump directly to the relevant section

Click on the links below to jump directly to the relevant section Click on the links below to jump directly to the relevant section Basic review Proportions and percents Proportions and basic rates Basic review Proportions use ratios. A proportion is a statement of equality

More information

TABLE OF CONTENTS. About Finish Line PA Core Math 5. UNIT 1: Big Ideas from Grade 5 7 UNIT 1 REVIEW 39

TABLE OF CONTENTS. About Finish Line PA Core Math 5. UNIT 1: Big Ideas from Grade 5 7 UNIT 1 REVIEW 39 TABLE OF CONTENTS About Finish Line PA Core Math 5 UNIT 1: Big Ideas from Grade 5 7 LESSON 1 CC.2.1.5.C.2 Multiplying Fractions [connects to CC.2.3.6.A.1] 8 LESSON 2 CC.2.1.5.B.2 Operations with Decimals

More information

ID: ID: ID: ID: 1.3.1b. ID: 1.3.2a

ID: ID: ID: ID: 1.3.1b. ID: 1.3.2a 1. An arithmetic sequence is a list of numbers in which consecutive numbers share a common difference. Each number after the first is calculated by adding the common difference to the preceding number.

More information

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.

Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units. Common Core Scope and Sequence Grade 7 Second Quarter Unit 5: Ratio, Rates, and Proportions Domain: Ratios and Proportional Relationships Geometry Cluster: Analyze proportional relationships and use them

More information

BACKGROUND KNOWLEDGE for Teachers and Students

BACKGROUND KNOWLEDGE for Teachers and Students Pathway: Agribusiness Lesson: ABR B4 1: The Time Value of Money Common Core State Standards for Mathematics: 9-12.F-LE.1, 3 Domain: Linear, Quadratic, and Exponential Models F-LE Cluster: Construct and

More information

The graph to the right shows the number of jars of salsa filled over time with the old machine.

The graph to the right shows the number of jars of salsa filled over time with the old machine. Problem 1 At a factory, a machine fills jars with salsa. The manager of the factory is considering buying a new machine that will fill 78 jars of salsa every 3 minutes. To support his decision, he wants

More information

Numerical Test 3. AssessmentDay. Solutions Booklet. Instructions. Practice Aptitude Tests

Numerical Test 3. AssessmentDay. Solutions Booklet. Instructions. Practice Aptitude Tests Numerical Test 3 Solutions Booklet Instructions This numerical reasoning test comprises 30 questions, and you will have 30 minutes in which to correctly answer as many as you can. Calculators are permitted

More information

Solving Real-World Problems with Ratios and Percents

Solving Real-World Problems with Ratios and Percents LESSON 3 Plug In Solving Real-World Problems with Ratios and Percents Writing Equivalent Forms: Fraction/Decimal/Percent To write a fraction as a decimal, divide the numerator by the denominator. 41 50

More information

4 Percentages Chapter notes

4 Percentages Chapter notes 4 Percentages Chapter notes GCSE Specification concepts and skills Find a percentage of a quantity (N o): 4. Use percentages to solve problems (N m): 4., 4.2, 4., 4.4 Use percentages in real-life situations:

More information

b) According to the statistics above the graph, the slope is What are the units and meaning of this value?

b) According to the statistics above the graph, the slope is What are the units and meaning of this value? ! Name: Date: Hr: LINEAR MODELS Writing Motion Equations 1) Answer the following questions using the position vs. time graph of a runner in a race shown below. Be sure to show all work (formula, substitution,

More information

Unit 5 Proportions and Percents

Unit 5 Proportions and Percents Unit 5 Proportions and Percents Section 5 Solving Percents using Proportions Percent Proportion A percent is the rate out of 100, we can use a proportion to find the missing value following the rules of

More information

Unit 10 Independent Summer Packet

Unit 10 Independent Summer Packet Unit 10 Independent Summer Packet Name For each skill in this packet, there are examples, explanations and definitions to read followed by practice problems for you to complete. Complex Fractions and Unit

More information

Applications of Percent. ESSENTIAL QUESTION How do you use percents to solve problems?

Applications of Percent. ESSENTIAL QUESTION How do you use percents to solve problems? L E S S O N 5.3 Applications of Percent 7.RP.1.3 Use proportional relationships to solve multistep ratio and percent problems. Also 7.EE.2.3? ESSENTIAL QUESTION How do you use percents to solve problems?

More information

1 of 22 9/24/2013 2:14 PM

1 of 22 9/24/2013 2:14 PM 1 of 22 9/24/2013 2:14 PM National income accounts assist Market investors in making more profitable investments. Individuals in maximizing their incomes. Economic policy makers in formulating policies

More information

Texas Credit Opening/Closing Date: 7/19/08 08/18/08

Texas Credit Opening/Closing Date: 7/19/08 08/18/08 Guided Practice Anatomy of a Credit Card Statement The following is a monthly statement from a typical credit card company. Parts left out intentionally are denoted by??? and highlighted in gray. Texas

More information

S2 (2.4) Percentages.notebook November 06, 2017

S2 (2.4) Percentages.notebook November 06, 2017 Daily Practice 28.8.2017 Q1. Find 50% of 360 Q2. Round 87.55 to the nearest unit Q3. Multiply out 3(2m + 4) Today we will be learning how to find a fraction of an amount. Q4. -15 + 2 x 3 Q5. 48 x 200 Finding

More information

LESSON 3.4 PERCENT OF CHANGE. 92 Lesson 3.4 ~ Percent of Change

LESSON 3.4 PERCENT OF CHANGE. 92 Lesson 3.4 ~ Percent of Change PERCENT OF CHANGE LESSON 3.4 EXPLORE! MINIMUM WAGE In 2009, Washington had the highest minimum wage rate in the United States. The chart below gives the minimum wage in Washington from 2005 to 2009. Year

More information

Open Math in Economics MA National Convention 2017 For each question, E) NOTA indicates that none of the above answers is correct.

Open Math in Economics MA National Convention 2017 For each question, E) NOTA indicates that none of the above answers is correct. For each question, E) NOTA indicates that none of the above answers is correct. For questions 1 through 13: Consider a market with a single firm. We will try to help that firm maximize its profits. The

More information

Exponential Growth and Decay

Exponential Growth and Decay Exponential Growth and Decay Identifying Exponential Growth vs Decay A. Exponential Equation: f(x) = Ca x 1. C: COEFFICIENT 2. a: BASE 3. X: EXPONENT B. Exponential Growth 1. When the base is greater than

More information

Section 5.6: HISTORICAL AND EXPONENTIAL DEPRECIATION OBJECTIVES

Section 5.6: HISTORICAL AND EXPONENTIAL DEPRECIATION OBJECTIVES Section 5.6: HISTORICAL AND EXPONENTIAL DEPRECIATION OBJECTIVES Write, interpret, and graph an exponential depreciation equation. Manipulate the exponential depreciation equation in order to determine

More information

Problem Set Chapter 9 Solutions

Problem Set Chapter 9 Solutions Problem Set Chapter 9 Solutions 1. Ch 9, Problem 1 Last year, the account ledger for an owner of a small drugstore showed the following information about her annual receipts and expenditures; Revenues:

More information

Ratios and Proportions. Fraction/Decimal/Percent Conversions Ratios Rates/ Unit Rates Proportions Percent Application Measurement Conversions

Ratios and Proportions. Fraction/Decimal/Percent Conversions Ratios Rates/ Unit Rates Proportions Percent Application Measurement Conversions Ratios and Proportions Fraction/Decimal/Percent Conversions Ratios Rates/ Unit Rates Proportions Percent Application Measurement Conversions Fill in the missing pieces in charts below. Fraction Decimal

More information

X 410 Business Applications of Calculus

X 410 Business Applications of Calculus X 410 Business Applications of Calculus PROBLEM SET 1 [100 points] PART I As manager of a particular product line, you have data available for the past 11 sales periods. This data associates your product

More information

Student-Built Glossary

Student-Built Glossary 6 Student-Built Glossary This is an alphabetical list of key vocabulary terms you will learn in Chapter 6. As you study this chapter, complete each term s definition or description. Remember to add the

More information

Unit 3 Study Guide Adv Math 7

Unit 3 Study Guide Adv Math 7 Unit Study Guide Adv Math 7 1) 21 2) 8 4 ) 1 4 1 4) Noah can make 2 1 stickers in 20 minutes. How many stickers can she make each hour? ) In 2.2 minutes, Dr. Hill can type 8 1 8 pages. What is her average

More information

Chapter 7: Money and Inflation. Instructor: Dmytro Hryshko

Chapter 7: Money and Inflation. Instructor: Dmytro Hryshko Chapter 7: Money and Inflation Instructor: Dmytro Hryshko Money and Its Functions Money is an asset that can be used to support transactions. Functions of money: 1 A Store of value: use money to support

More information

Interpreting Rate of Change and Initial Value

Interpreting Rate of Change and Initial Value Interpreting Rate of Change and Initial Value In a previous lesson, you encountered an MP3 download site that offers downloads of individual songs with the following price structure: a $3 fixed fee for

More information

Calculator Keystrokes (Get Rich Slow) - Hewlett Packard 12C

Calculator Keystrokes (Get Rich Slow) - Hewlett Packard 12C Calculator Keystrokes (Get Rich Slow) - Hewlett Packard 12C Keystrokes for the HP 12C are shown in the following order: (1) Quick Start, pages 165-169 of the Appendix. This will provide some basics for

More information

Assignment 1: Hand in only Answer. Last Name. First Name. Chapter

Assignment 1: Hand in only Answer. Last Name. First Name. Chapter Assignment 1: Hand in only Answer Last Name First Name Chapter 3 1 11 21 2 12 22 3 13 23 4 14 24 5 15 25 6 16 7 17 8 18 9 19 10 20 Chapter 4 1 8 15 2 9 16 3 10 17 4 11 18 5 12 19 6 13 7 14 Chapter 3: Page

More information

Percent: Slide 1 / 194. Slide 2 / 194. Slide 4 / 194. Slide 3 / 194. Slide 6 / 194. Slide 5 / 194. Table of Contents. Ratios as Percents

Percent: Slide 1 / 194. Slide 2 / 194. Slide 4 / 194. Slide 3 / 194. Slide 6 / 194. Slide 5 / 194. Table of Contents. Ratios as Percents Slide 1 / 194 Percents Slide 2 / 194 Table of Contents Ratios as Percents Decimals as Percents Percents as Decimals Fractions as Percents Percents as Fractions Fractional Parts and Equivalent Names Relating

More information

MONEY 101. An MIT Student s Guide to Financial Wellness. Your guide and online resource to answer the questions you have about financial wellness.

MONEY 101. An MIT Student s Guide to Financial Wellness. Your guide and online resource to answer the questions you have about financial wellness. MONEY 101 An MIT Student s Guide to Financial Wellness Your guide and online resource to answer the questions you have about financial wellness. FAQs and Tips on: 1. The Value of Credit Union Membership

More information

ECO 209Y MACROECONOMIC THEORY AND POLICY LECTURE 12: THE DERIVATION OF THE AGGREGATE DEMAND CURVE

ECO 209Y MACROECONOMIC THEORY AND POLICY LECTURE 12: THE DERIVATION OF THE AGGREGATE DEMAND CURVE ECO 209 MACROECONOMIC THEOR AND POLIC LECTURE 12: THE DERIVATION OF THE AGGREGATE DEMAND CURVE Gustavo Indart Slide 1 FIXED-PRICE MODEL Everything we have done in the IS-LM model has been in terms of demand,

More information

Linear Modeling Business 5 Supply and Demand

Linear Modeling Business 5 Supply and Demand Linear Modeling Business 5 Supply and Demand Supply and demand is a fundamental concept in business. Demand looks at the Quantity (Q) of a product that will be sold with respect to the Price (P) the product

More information

hp calculators HP 17bII+ Frequently Asked Questions

hp calculators HP 17bII+ Frequently Asked Questions 1. Q. Why are some functions shown on the keyboard in color? A. That is to distinguish them from the functions shown in white on the face of the key. If you press a key, you will activate that function

More information

UNIT 10 PRACTICE PROBLEMS

UNIT 10 PRACTICE PROBLEMS UNIT 10 PRACTICE PROBLEMS 1 3: Represent the following scenarios as ratios in the indicated ways. Then determine if the comparison is part to part or part to whole. 1. In Kate s yoga class, there were

More information

Instantaneous rate of change (IRC) at the point x Slope of tangent

Instantaneous rate of change (IRC) at the point x Slope of tangent CHAPTER 2: Differentiation Do not study Sections 2.1 to 2.3. 2.4 Rates of change Rate of change (RC) = Two types Average rate of change (ARC) over the interval [, ] Slope of the line segment Instantaneous

More information

Econ 101A Final exam May 14, 2013.

Econ 101A Final exam May 14, 2013. Econ 101A Final exam May 14, 2013. Do not turn the page until instructed to. Do not forget to write Problems 1 in the first Blue Book and Problems 2, 3 and 4 in the second Blue Book. 1 Econ 101A Final

More information

1. The probability that a visit to a primary care physician s (PCP) office results in neither

1. The probability that a visit to a primary care physician s (PCP) office results in neither 1. The probability that a visit to a primary care physician s (PCP) office results in neither lab work nor referral to a specialist is 35%. Of those coming to a PCP s office, 30% are referred to specialists

More information

My Financial House Guide to Budgeting. Ryan H. Law

My Financial House Guide to Budgeting. Ryan H. Law My Financial House Guide to Budgeting Ryan H. Law https://ryanhlaw.com Introduction Budgeting is the foundation of all financial success and the way to achieve your financial goals. In this guide I will

More information

Name: Date: Period: MATH MODELS (DEC 2017) 1 st Semester Exam Review

Name: Date: Period: MATH MODELS (DEC 2017) 1 st Semester Exam Review Name: Date: Period: MATH MODELS (DEC 2017) 1 st Semester Exam Review Unit 1 Vocabulary: Match the following definitions to the words below. 1) Money charged on transactions that goes to fund state and

More information

Problem Set 5 Answers. A grocery shop is owned by Mr. Moore and has the following statement of revenues and costs:

Problem Set 5 Answers. A grocery shop is owned by Mr. Moore and has the following statement of revenues and costs: 1. Ch 7, Problem 7.2 Problem Set 5 Answers A grocery shop is owned by Mr. Moore and has the following statement of revenues and costs: Revenues $250,000 Supplies $25,000 Electricity $6,000 Employee salaries

More information

19 review for quarterly.notebook

19 review for quarterly.notebook ex) For the boys football team 35 boys were selected out of 50 boys that tried out. For the girls lacrosse team 21 girls were selected out of 30 that tried out. Are these ratios equivalent? Explain. ex)

More information

Contents. Solving Real-World Problems with Ratios and Percents Using Proportional Relationships to Solve Multi-Step Problems

Contents. Solving Real-World Problems with Ratios and Percents Using Proportional Relationships to Solve Multi-Step Problems Contents New York State Common Core Learning Standards for Mathematics Lesson Computing Unit Rates... Lesson Identifying the Constant of Proportionality... 7.RP. 7.RP..b Lesson Lesson Solving Real-World

More information

Chapter 3. National Income: Where it Comes from and Where it Goes

Chapter 3. National Income: Where it Comes from and Where it Goes ECONOMY IN THE LONG RUN Chapter 3 National Income: Where it Comes from and Where it Goes 1 QUESTIONS ABOUT THE SOURCES AND USES OF GDP Here we develop a static classical model of the macroeconomy: prices

More information

Name Date. Key Math Concepts

Name Date. Key Math Concepts 2-1 Interpret Scatterplots Key Math Concepts Bivariate data is pairs of numbers, (x,y), that represent variables. Positive correlation: the value of one variable increases as the other increases. Negative

More information

Unit Four: Financial Literacy Week Two: Managing Money

Unit Four: Financial Literacy Week Two: Managing Money Name: Date: THE ART OF BUDGETING Most people could not tell you how their money is spent; all they know is that all too often, their money is gone almost as soon as they earn it. Learning how to manage

More information

Lesson 1: How Your Money Changes Appreciation & Depreciation

Lesson 1: How Your Money Changes Appreciation & Depreciation : How Your Money Changes Appreciation & Depreciation Learning Target I can solve Appreciation and Depreciation word problems I can calculate simple and compound interests In your own words write answer

More information

Question 1 (Patterns, Functions and Algebra)

Question 1 (Patterns, Functions and Algebra) Question 1 (Patterns, Functions and Algebra) When a car travels at a constant rate, distance varies directly with time. Which graph could represent the distance as a function of time? Question 2 (Patterns,

More information

Marginal Product and Marginal Cost

Marginal Product and Marginal Cost Marginal Product and Marginal Cost 4. 3rd (decreases from 10, 15 to 11) 5. Greater than a higher MP will increase TP and thus increase APP 6. No, neither output or labor can be negative 7. Yes, if an additional

More information