=========================================================================
|
|
|
- Sydney Ball
- 5 years ago
- Views:
Transcription
1 MBFC WS. Eponent Rules. Write each product as a power.. Evaluate each power. 6. Substitute the indicated values. Evaluate for the remaining variable. (Round to decimals) a) A r, r cm b) I prt, p $ 00, r 0. 06, t c) s V, s m ANSWERS: =========================================================================. Write as a single power, then evaluate. Write as a single power, then evaluate
2 . Write as a single power, then evaluate. Write as a single power, then evaluate. Write as a single power, then evaluate Some Answers: (You need BOTH parts of the answer to be perfectly correct!!)
3 MBFC WS. Zero and Negative Eponents. Evaluate. Epress your answers without decimals.. Epress with positive eponents, then evaluate. Epress your answers without decimals. 6. Epress with positive eponents, then evaluate. Epress your answers without decimals. 7. Use the eponent laws to simplify. Then evaluate.
4 8. Epress with positive eponents, then evaluate. Epress your answers without decimals. ========================================================================. Epress with positive eponents, then evaluate. Epress your answers without decimals. Some Answers:
5 MBFC WS. Eponential Growth. The HST is % in Ontario. What is the after-ta price of an item with a sticker price of a) $9.00? b) $7.9?. The price of a meal at a restaurant was $.0. What is the TOTAL amount you will pay if you wish to leave a tip of a) 0%? b) %?. The value of a Mr. Kennedy hockey card is $7 and it grows by % every year. a) Write the equation relating y, the value of the card, and n, the number of years. b) Complete the table of values and make a graph showing the value of the card through the years. Year 0 Value Ratio 0 8 V n c) What will be the value of the card after 7 years? d) What will be the value of the card after years?
6 . There are 6 fruit flies in Mr. McCarthy s kitchen, and that number doubles every day a) Write the equation relating y, the number of flies, and n, the number of days. b) Complete the table of values and make a graph showing the number of flies. Day Value 00 Value Year c) How many flies will there be after weeks?. The population of Gotham is 0000 people. What will the new population be if Gotham grows at a a) rate of % per month for 0 months? b) rate of 7% per year for years? 6. Munira inherits $0000. If she invests that money and it grows at a rate of 6% per year, how much money will she have after 0 years? 7. The debt of Wazooland is $0,000 and is growing at % per year. What will the debt be 0 years from now?
7 8. An equation showing the population growth of Boomtown is n y year 0 is 06. a) What is the rate of population growth per year? b) What is the population of Boomtown in 06? c) Determine the projected population of Boomtown in 0., where n is in years, and 9. Arthur s investment of $000 grows at a rate of 8% per year for 0 years. Samia s investment of $000 grows at a rate of 6% per year for years. Whose investment is worth more, and by how much? 0. The population of Forks in 06 is 0,000 and it is growing at a rate of.% per year. a) What will the population be in 06? b) Estimate when the population will reach 00,000. Answers: a. $9.7 b. $8.6 a. $.7 b. $.88 c. $8.6 d. $76. c. 980 a. 806 b. 6. $ $70, a. 8% b. 00 c Arthur s by $60. 0a. 700 b. 07
8 MBFC WS. Eponential Decay. A Keurig Coffee Maker regularly priced at $8.99 is on sale for 0% off the regular price. What is the sale price?. Bluetooth headphones regularly priced at $79.99 are on sale for 0% off. a) What is the sale price? b) What will be the total price after % HST is added?. The value of a car is $0 (in thousands) and it depreciates by % each year. a) Write the equation relating y, the value of the car, and n, the number of years. b) Complete the table of values and make a graph showing the value of the car through the years. Year 0 Value Ratio 0 8 V n c) What will be the value of the car after 8 years? d) What will be the value of the card after 0 years?
9 . A popsicle with a mass of 80 grams is placed outside in the sun. Every minute, % of the popsicle melts away. a) Write the equation relating y, the mass of the popsicle, and n, the number of minutes it spends in the sun. b) Complete the table of values and make a graph showing the mass of the popsicle Day Value 00 Value Year c) What will the mass be after 0 minutes?. The population of Pandora is 0000 people. What will the new population be if Pandora shrinks at a a) rate of 7% per month for years? b) rate of % per year for 0 years? 6. Lana inherits $0000. If she invests that money and it depreciates at a rate of % per year, how much money will she have after years?
10 7. The population of Woodstock is,000 people. If the population declines by 8% per year for 7 years, and then grows at a rate of % per year for years, what will be the population years from now? 8. An equation showing the population growth of Gloomtown is n y and year 0 is 06. a) What is the rate of population decay per year? b) What is the population of Gloomtown in 06? c) Determine the projected population of Gloomtown in 0., where n is in years, 9. Eddie has 0000 friends. Every year, due to his poor behaviour, Eddie loses half of his friends and does not gain any new friends. How many friends will he have a) 6 years from now? b) years from now? 0. The population of Forks in 06 is 70,000 and it is declining at a rate of.% per year. a) What will the population be in 00? b) Estimate when the population will reach 0,000. Answers:. $7.9 a. $.99 b. $6.7 c. $00.6 d. $6.7 c. g a. 876 b $ a. % b. 000 c. 6 9a. 6 9b. 0a. 909 b. 09
11 MBFC WS. Graphing Eponential Relations. Identify the following as either Eponential Growth (G) or Eponential Decay (D): y b) a) y 00 c) y d) y Match up the equation with the graph 0. y 0. 8 y. y. y 6 A B C D Make a table of values and graph each relation on the same set of aes. a) y b) y
12 c) y d) y e) y f) y
13 . Make a table of values and graph each relation on the same set of aes. Note how the graph of a QUADRATIC relation differs from the graph of an EXPONENTIAL relation. a) y b) y
14 b) y. y
15 MBFC WS.6 Writing Eponential Equations Part A: Nice Data (Ensure that you can complete these WITHOUT the TI8!!!). Write the equation for each of the following eponential relations, and fill in the blanks. Round to decimals as appropriate. a) y b) y c) y d) y
16 e) y f) y The table shows the amount remaining from a 00 mg sample of radioactive material over time. Time (days) Mass (mg) a) Graph the data and find the equation of the eponential curve. b) Use the equation to find the mass remaining after days. c)when will there be 0.00 mg remaining?
17 . The table shows the world population in billions. The year 70 is set as t = 0.. Year t Population (billions) a) Make a scatter plot of the data. Find the equation of the eponent b) Use the equation to estimate the population in 00. c) When will the world population reach 7 billion? Time Population (h) P = P o,. The population, P, of penguins in one region can be modelled by the relation 60 where t is time in months and Po is the initial population. a) What does the value of 60 represent in this relation? t b) If there are 00 penguins in this region today, approimately how many penguins will there be in two years?
18 MBFC WS.7 Working With Eponential Equations t. The population, P, of penguins in one region can be modelled by the relation P = P 60 0, where t is time in months and P 0 is the initial population. a) What does the value of 60 represent in this relation? b) If there are 00 penguins in this region today, approimately how many penguins will there be in two years? c) If there are 000 penguins in this region today, approimately how many penguins will there be in years?. Radon has a half-life of days. The mass of material, M, in milligrams, can be modelled by the relation M = M 0 t., where t is time in days a) How much of a.000 mg sample is left after 6 days? b) How long will it take a 00 mg sample to decay to mg? c) How many days are needed for a sample to decay to 0.% of its original mass? =================================================
19
20 Answers. a) the doubling time of 60 months b) 8 c) 6. a) mg b) 00 days c) 9 days =========================
21 MBFC WS.8 Unit Review Write as a single power, then evaluate a) b) 9 6 d) c) 7. Write as a single power, then evaluate a) b) c) d) 07. Write each epression as a single power with a positive eponent. Then evaluate. Do not use decimals. a) 8 8 b) c) d) e) 9 f) 7 6 g) 6 h)
22 . The HST is % in Ontario. What is the after-ta price of an item with a sticker price of a) $7.00? b) $99.99?. What is the sale price of an item (before ta) if the advertised price is a) % off the regular price of $8.00? b) 0% off the regular price of $9.99? 6. The value of a Mr. Kennedy hockey card is $8 and it grows by % every year. a) Write the equation relating y, the value of the card, and n, the number of years. b) Complete the table of values and make a graph showing the value of the card through the years. Year 0 Value Ratio 0 8 V n c) What will be the value of the card after 0 years? 7. The population of King City is 000 people. What will the new population be if King City grows at a a) rate of % per month for 0 months? b) rate of % per year for 0 years?
23 8. The value of a Mr. Oka hockey card is $ and it doubles every year. a) Write the equation relating y, the value of the card, and n, the number of years. b) What will be the value of the card after 8 years? 9. The population of Quarantine is 80 (in thousands), but is declining at a rate of % per year. a) Write the equation relating y, the population, and n, the number of years. b) Complete the table of values and make a graph showing the population through the years. Year Value 00 Value Year c) What will the population be after 8 years? 0. The population of the unicorn (an endangered species) currently is at 7,000 worldwide. Every year the number of unicorns in the world is cut in half. What will the population of unicorns be a) 8 years from now? b) twelve and a half years from now?
24 . Make a table of values and graph each relation a) y. y y 0. 7 b) y
25 . Write the equation for each of the following eponential relations, and fill in the blanks. a) y b) y The remaining mass of a drug in a person s bloodstream is modelled by M 00, where M is the remaining mass in milligrams, and t is the time, in hours, that the drug is in the bloodstream. a) What is the half-life of the drug? b) What was the dosage of the drug? t c) What will be the concentration of the drug in the bloodstream after 6 hours?
26 . From 99 to 00, average personal incomes in Canada grew according to the relation n I I0. 0, where I is the resulting income, I 0 is the initial income, and n is the number of years of growth. Answers a. b. c. 0 d. 8 a. b. c. 6 d. 8 a. b. 6 c. d. 8 e. 6 f. 8 g. h. a. $. b. $.99 a. $.80 b. $7.99 6c. $.6 7a. 8 7b. 8 8b. $ c. 6 0a. 7 0b. a b a. h b. 00 mg c. 6. mg a. $08. b. $660.7
14.1 Fitting Exponential Functions to Data
Name Class Date 14.1 Fitting Eponential Functions to Data Essential Question: What are ways to model data using an eponential function of the form f() = ab? Resource Locker Eplore Identifying Eponential
CHAPTER 6. Exponential Functions
CHAPTER 6 Eponential Functions 6.1 EXPLORING THE CHARACTERISTICS OF EXPONENTIAL FUNCTIONS Chapter 6 EXPONENTIAL FUNCTIONS An eponential function is a function that has an in the eponent. Standard form:
6.1 Exponential Growth and Decay Functions Warm up
6.1 Exponential Growth and Decay Functions Warm up Simplify the expression. 1. 2. 3. 4. 5. 6. 7. Your Lester's bill is $14. How much do you owe your server if you tip 15%? 8. Your Lester's bill is $P.
Simplify each expression:
Warm Up Simplify each epression: 1. rs 3 (r 3 4rs r s 3 ) 4. n 1 n. 7a 3 b c 5 45a 4 c 3 5. n + n 3. 3a 3 3a 5 6. 40 3 y 4 5 5 y 9 Chapter 5 Eponents and Logarithms 5.1 Growth & Decay: Integral Eponents
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
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
Objectives: Students will be able to model word problems with exponential functions and use logs to solve exponential models.
Pre-AP Algebra 2 Unit 9 - Lesson 6 Exponential Modeling Objectives: Students will be able to model word problems with exponential functions and use logs to solve exponential models. Materials: Hw #9-5
Unit 7 Exponential Functions. Name: Period:
Unit 7 Exponential Functions Name: Period: 1 AIM: YWBAT evaluate and graph exponential functions. Do Now: Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will
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
S14 Exponential Growth and Decay (Graphing Calculator or App Needed)
1010 Homework Name S14 Exponential Growth and Decay (Graphing Calculator or App Needed) 1. Without graphing, classify each of the following as increasing or decreasing and find f (0). a. f (x) = 1.5(0.75)
f ( x) a, where a 0 and a 1. (Variable is in the exponent. Base is a positive number other than 1.)
MA 590 Notes, Lesson 9 Tetbook (calculus part) Section.4 Eponential Functions In an eponential function, the variable is in the eponent and the base is a positive constant (other than the number ). Eponential
9.6 Notes Part I Exponential Growth and Decay
9.6 Notes Part I Exponential Growth and Decay I. Exponential Growth y C(1 r) t Time Final Amount Initial Amount Rate of Change Ex 1: The original value of a painting is $9000 and the value increases by
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
Mock Exam. MBF3C: Mathematics of Personal Finance. Duration 3 hours. Non-Programmable calculator allowed
Mock Exam MBF3C: Mathematics of Personal Finance Duration 3 hours Non-Programmable calculator allowed Answer all questions on the question paper Use blank side of the sheets for rough work, if needed.
Exponential Modeling/Regression
Exponential Modeling/Regression Name: 1) John decided to start investing for his retirement with the money he received when his grandfather passed away. John s grandfather passed away when he was 23 years
MA Notes, Lesson 19 Textbook (calculus part) Section 2.4 Exponential Functions
MA 590 Notes, Lesson 9 Tetbook (calculus part) Section.4 Eponential Functions In an eponential function, the variable is in the eponent and the base is a positive constant (other than the number ). Eponential
1) State whether the following are functions and give an explanation for your reason. Give the domain and range for each relation.
MCF M Calc Questions:,,, 7, 8, 9,,,, QUADRATIC FUNCTIONS ) State whether the following are functions and give an eplanation for your reason. Give the domain and range for each relation. a) - 7 b) y c)
Growth and decay. VCEcoverage Area of study. Units 3 & 4 Business related mathematics
Growth and decay VCEcoverage Area of study Units 3 & Business related mathematics In this cha chapter A Growth and decay functions B Compound interest formula C Finding time in compound interest using
Algebra I 03/18/16 Aim: How Do We Model Situations Involving Exponential Decay? HW#77: Exponential Functions Day 3 WS
Algebra I 03/18/16 DO NOW Regina is such a gossip! She decided to start a rumor about a junior boy and told three of her friends the story she made up. The next day those three girls each told another
Bob Brown, CCBC Essex Math 163 College Algebra, Chapter 4 Section 2 1 Exponential Functions
Bob Brown, CCBC Esse Math 163 College Algebra, Chapter 4 Section 2 1 Eponential Functions Motivating Eample Suppose that, on his 18 th birthday, Biff deposits $10,000 into an account that earns 6% annual
PAP Algebra 2. Unit 7A. Exponentials Name Period
PAP Algebra 2 Unit 7A Exponentials Name Period 1 2 Pre-AP Algebra After Test HW Intro to Exponential Functions Introduction to Exponential Growth & Decay Who gets paid more? Median Income of Men and Women
Algebra I 02/03/17 Aim: How Do We Model Situations Involving Exponential Decay? HW: Exponential Functions Day 3 WS
Algebra I 02/03/17 DO NOW Regina is such a gossip! She decided to start a rumor about a junior boy and told three of her friends the story she made up. The next day those three girls each told another
Chapter 1 Review Applied Calculus 60
Chapter 1 Review Applied Calculus 60 Section 7: Eponential Functions Consider these two companies: Company A has 100 stores, and epands by opening 50 new stores a year Company B has 100 stores, and epands
Exponential functions: week 13 Business
Boise State, 4 Eponential functions: week 3 Business As we have seen, eponential functions describe events that grow (or decline) at a constant percent rate, such as placing capitol in a savings account.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Assn.1-.3 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) How long will it take for the value of an account to be $890 if $350 is deposited
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
A city, Maple Valley s population is growing by 124 people per year. If there were 25,125 people in 2014, what is the population in 2015? 2016?
Section 6.1: Exponential Functions 1. India is the second most populous country in the world with a population of about 1.25 billion people in 2013. The population is growing at a rate of about 1.2% each
1 Some review of percentages
1 Some review of percentages Recall that 5% =.05, 17% =.17, x% = x. When we say x% of y, we 100 mean the product x%)y). If a quantity A increases by 7%, then it s new value is }{{} P new value = }{{} A
Exponential Modeling. Growth and Decay
Exponential Modeling Growth and Decay Identify each as growth or Decay What you should Know y Exponential functions 0
Math 2 Variable Manipulation Part 8 Forms and Uses of Exponential Functions
Math 2 Variable Manipulation Part 8 Forms and Uses of Exponential Functions 1 MONEY AND INTEREST An exponential function is a function of the form f(x) = ab x where a and b are constants and a 0, b > 0,
Writing Exponential Equations Day 2
Writing Exponential Equations Day 2 MGSE9 12.A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear, quadratic, simple rational,
National 5 Mathematics
St Andrew s Academy Mathematics Department National 5 Mathematics UNIT 1 ASSESSMENT PREPARATION St Andrew's Academy Maths Dept 2016-17 1 Practice Unit Assessment 1A for National 5 1. Expand and simplify
7-3 Exponential Review I can apply exponential properties and use them I can model real-world situations using exponential functions Warm-Up 1. Find the next three terms in the sequence 2, 6, 18, 54,,,
Park Forest Math Team. Meet #4. Self-study Packet
Park Forest Math Team Meet #4 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
December 7 th December 11 th. Unit 4: Introduction to Functions
Algebra I December 7 th December 11 th Unit 4: Introduction to Functions Jump Start Solve each inequality below. x + 2 (x 2) x + 5 2(x 3) + 2 1 Exponential Growth Example 1 Two equipment rental companies
Logarithmic Functions and Simple Interest
Logarithmic Functions and Simple Interest Finite Math 10 February 2017 Finite Math Logarithmic Functions and Simple Interest 10 February 2017 1 / 9 Now You Try It! Section 2.6 - Logarithmic Functions Example
Why? Exponential Growth The equation for the number of blogs is in the form 1 y = a(1 + r ) t. This is the general equation for exponential growth.
Then You analyzed exponential functions. (Lesson 9-6) Now Growth and Decay 1Solve problems involving exponential growth. 2Solve problems involving exponential decay. Why? The number of Weblogs or blogs
Lesson 8: Modeling a Context from a Verbal Description
Classwork Example Christine has $ to deposit in a savings account and she is trying to decide between two banks. Bank A offers % annual interest compounded quarterly. Rather than compounding interest for
Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally 4.5. THE NUMBER e
Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally 4.5 THE NUMBER e Functions Modeling Change: A Preparation for Calculus, 4th Edition, 2011, Connally The Natural Number
MA Lesson 27 Section 4.1
MA 15200 Lesson 27 Section 4.1 We have discussed powers where the eponents are integers or rational numbers. There also eists powers such as 2. You can approimate powers on your calculator using the power
1 Some review of percentages
1 Some review of percentages Recall that 5% =.05, 17% =.17, x% = x. When we say x% of y, we 100 mean the product (x%)(y). If a quantity A increases by 7%, then it s new value is }{{} P new value = }{{}
UNIT 11 STUDY GUIDE. Key Features of the graph of
UNIT 11 STUDY GUIDE Key Features of the graph of Exponential functions in the form The graphs all cross the y-axis at (0, 1) The x-axis is an asymptote. Equation of the asymptote is y=0 Domain: Range:
2.4 - Exponential Functions
c Kathryn Bollinger, January 21, 2010 1 2.4 - Exponential Functions General Exponential Functions Def: A general exponential function has the form f(x) = a b x where a is a real number constant with a
Exponential and Logarithmic Word Problems Notes
Algebra 2 Name P S2[0G1c6C DKSuut^am ws]offptmwsa_rpen SLKLlCO.g N ZAql]ld crbijgehathst yr[ensfeurivsevdx. Exponential and Logarithmic Word Problems Notes Find the inverse of each function. Date Period
7-8 Exponential Growth and Decay Notes
7-8 Eponential Growth and Decay Notes Decay y = a b where a > 0 and b is between 0 and 1 Eample : y = 100 (.5) As is increases by 1, y decreases to 1/2 of its previous value. Growth y = a b where a > 0
c. Graph this on your calculator and determine about when the average was 600 pages.
EXPONENTIAL MODELING: CLASS PROBLEMS 1. In 1950 the average Algebra II book had 412 pages. The current Algebra II book has 850 pages. a. What was the annual percentage growth in the number of pages? b.
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,
elementary and intermediate Algebra Warm-up Name atfm0303mk2810yes
MATH000 online PLACEMENT TEST 1 QUESTIONS 11-0-13 Fall 013 elementar and intermediate Algebra Warm-up Name atfm0303mkes www.alvarezmathhelp.com website PROGRAMS ALVAREZLAB (SAVE AND EXTRACT TO YOUR COMPUTER)
Chapter 10: Exponential Functions
Chapter 10: Exponential Functions Lesson 1: Introduction to Exponential Functions and Equations Lesson 2: Exponential Graphs Lesson 3: Finding Equations of Exponential Functions Lesson 4: Exponential Growth
SA2 Unit 4 Investigating Exponentials in Context Classwork A. Double Your Money. 2. Let x be the number of assignments completed. Complete the table.
Double Your Money Your math teacher believes that doing assignments consistently will improve your understanding and success in mathematics. At the beginning of the year, your parents tried to encourage
7.1 Characteristics of Exponential Functions.notebook. Chapter 7: Exponential Functions
Chapter 7: Exponential Functions 1 Chapter 7 7.1 Characteristics of Exponential Functions Pages 334 345 Investigating Exponential Functions: 1. Complete the following table using and sketch on the axis
Total 100
MATH 111 Final Exam Winter 2015 Name Student ID # Section HONOR STATEMENT I affirm that my work upholds the highest standards of honesty and academic integrity at the University of Washington, and that
Park Forest Math Team. Meet #4. Self-study Packet
Park Forest Math Team Meet #4 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. Geometry: Angle measures in plane figures including supplements and complements 3. Number
3.1 Exponential Functions and Their Graphs Date: Exponential Function
3.1 Exponential Functions and Their Graphs Date: Exponential Function Exponential Function: A function of the form f(x) = b x, where the b is a positive constant other than, and the exponent, x, is a variable.
MATH 2070 Test 2 (Sections & )
Multiple Choice: Use a #2 pencil and completely fill in each bubble on your scantron to indicate the answer to each question. Each question has one correct answer. If you indicate more than one answer,
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
Mathematical Literacy A Math course students WANT to take. Jack Rotman AMATYC 2011 Session S163
Mathematical Literacy A Math course students WANT to take Jack Rotman AMATYC 2011 Session S163 Here s What is Coming What is mathematical literacy? Math119 at LCC intended audience, purpose Overview of
Math 111: Section 3.1 Exponential Growth and Decay Section 004
Math 111: Section 3.1 Exponential Growth and Decay Section 004 An example of Exponential Growth If each bactrium splits into two bacteria every hour, then the population doubles every hour. The question
Test # 1 Review Math MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Test # 1 Review Math 135 Name (Sections 1.3,.,3.7,..1,.3,11.1,11.,11.3,and 11.) _ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Factor out the greatest
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.
Math 110 Sample Final. 8) x = x 4
Math 0 Sample Final Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve. ) Find the area.. miles.3 miles A) sq mi B). sq mi C). sq mi 0. sq
r 1. Discuss the meaning of compounding using the formula A= A0 1+
Money and the Exponential Function Goals: x 1. Write and graph exponential functions of the form f ( x) = a b (3.15) 2. Use exponential equations to solve problems. Solve by graphing, substitution. (3.17)
EXPONENTIAL FUNCTION BASICS COMMON CORE ALGEBRA II BASIC EXPONENTIAL FUNCTIONS
Name: Date: EXPONENTIAL FUNCTION BASICS COMMON CORE ALGEBRA II You studied eponential functions etensivel in Common Core Algebra I. Toda's lesson will review man of the basic components of their graphs
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
Algebra Review (New Version) Homework Problems
MATH 119 Algebra Review (New Version) Homework Problems The following set is only to review the Algebra needed for this class. It should be familiar to you from previous class such as M110, M111 or others.
AS/ECON 4070 AF Answers to Assignment 1 October 2001
AS/ECON 4070 AF Answers to Assignment 1 October 2001 1. Yes, the allocation will be efficient, since the tax in this question is a tax on the value of people s endowments. This is a lump sum tax. In an
1) 17 11= 2) = 3) -9(-6) = 6) ) ) ) Find the 444. If necessary, round to the nearest tenth.
SOL 7.3 Simplify each. 1) 17 11= 2) -100 + 5 = 3) -9(-6) = 4) SOL 8.5 Circle all of the following that are perfect squares. 256 49 16 21 64 1 98 81 76 400 5) How do you determine if a number is a perfect
Simple Interest Formula
Accelerated Precalculus 5.7 (Financial Models) 5.8 (Exponential Growth and Decay) Notes Interest is money paid for the use of money. The total amount borrowed (whether by an individual from a bank in the
MFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons
MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 2 Proportional Reasoning 9 Video Lessons Allow no more than 14 class days for this unit! This includes time for review
BLOCK 2 ~ EXPONENTIAL FUNCTIONS
BLOCK 2 ~ EXPONENTIAL FUNCTIONS TIC-TAC-TOE Looking Backwards Recursion Mix-Up Story Time Use exponential functions to look into the past to answer questions. Write arithmetic and geometric recursive routines.
Alg1 Notes 9.3M.notebook May 01, Warm Up
9.3 Warm Up Tell whether each set of ordered pairs satisfies an exponential function. Explain your answer. 1. {(0, 0), (1, 2), (2, 16), (3, 54)} 2. {(0, 5), (1, 2.5), (2, 1.25), (3, 0.625)} 3. Graph y
Chapter 7: Exponential and Logarithmic Functions
Chapter 7: Exponential and Logarithmic Functions Lesson 7.1: Exploring the Characteristics of Exponential Functions, page 439 1. a) No, linear b) Yes c) No, quadratic d) No, cubic e) Yes f) No, quadratic
ACTIVITY: Comparing Types of Growth
6.5 Eponential Growth growth? What are the characteristics of eponential ACTIVITY: Comparing Tpes of Growth Work with a partner. Describe the pattern of growth for each sequence and graph. How man of the
Entrance Exam Wiskunde A
CENTRALE COMMISSIE VOORTENTAMEN WISKUNDE Entrance Exam Wiskunde A Date: 19 December 2018 Time: 13.30 16.30 hours Questions: 6 Please read the instructions below carefully before answering the questions.
1) The mass of an object is 27.3 grams. Which mass is greater than 27.3 grams?
Midterm Practice Quiz #3 1) The mass of an object is 27.3 grams. Which mass is greater than 27.3 grams? A. 27.30 grams B. 27.040 grams C. 27.300 grams D. 27.33 grams 2) Which part of the figure is shaded?
1.1. Simple Interest. INVESTIGATE the Math
1.1 Simple Interest YOU WILL NEED calculator graph paper straightedge EXPLORE An amount of money was invested. Interpret the graph below to determine a) how much money was invested, b) the value of the
9.1 Financial Mathematics: Borrowing Money
Math 3201 9.1 Financial Mathematics: Borrowing Money Simple vs. Compound Interest Simple Interest: the amount of interest that you pay on a loan is calculated ONLY based on the amount of money that you
Rational Exponents. Investigate Rational Exponents 2 + 1_. = 9 1 = 9 You can reverse these statements to get 9 1 = 9 1_. What is the value of 9 1_
. Rational Exponents Focus on applying the exponent laws to expressions using rational numbers or variables as bases and rational exponents solving problems that involve powers with rational exponents
7th Grade. Relating Fractions, Decimals & Percents. Slide 1 / 157 Slide 2 / 157. Slide 3 / 157. Slide 4 / 157. Slide 6 / 157. Slide 5 / 157.
Slide 1 / 157 Slide 2 / 157 7th Grade Percents 2015-11-30 www.njctl.org Slide 3 / 157 Table of Contents Slide 4 / 157 Click on the topic to go to that section Relating Fractions, Decimals and Percents
a n a m = an m a nm = a nm
Exponential Functions The greatest shortcoming of the human race is our inability to understand the exponential function. - Albert A. Bartlett The function f(x) = 2 x, where the power is a variable x,
FINITE MATH LECTURE NOTES. c Janice Epstein 1998, 1999, 2000 All rights reserved.
FINITE MATH LECTURE NOTES c Janice Epstein 1998, 1999, 2000 All rights reserved. August 27, 2001 Chapter 1 Straight Lines and Linear Functions In this chapter we will learn about lines - how to draw them
Computing interest and composition of functions:
Computing interest and composition of functions: In this week, we are creating a simple and compound interest calculator in EXCEL. These two calculators will be used to solve interest questions in week
Algebra 2 Unit 11 Practice Test Name:
Algebra 2 Unit 11 Practice Test Name: 1. A study of the annual population of the red-winged blackbird in Ft. Mill, South Carolina, shows the population,, can be represented by the function, where the t
Exponents Unit Notebook v2.notebook. November 09, Exponents. Table Of Contents. Section 1: Zero and Integer Exponents Objective: Nov 1-10:06 AM
Exponents Nov 1-10:06 AM Table Of Contents Section 1: Zero and Integer Exponents Section 2: Section 3: Multiplication Properties of Exponents Section 4: Division Properties of Exponents Section 5: Geometric
Final Exam Review. 1. Simplify each of the following. Express each answer with positive exponents.
1 1. Simplify each of the following. Express each answer with positive exponents. a a) 4 b 1x xy b) 1 x y 1. Evaluate without the use of a calculator. Express answers as integers or rational numbers. a)
Precalculus An Investigation of Functions
Precalculus An Investigation of Functions David Lippman Melonie Rasmussen Edition 1.3 This book is also available to read free online at http://www.opentetbookstore.com/precalc/ If you want a printed copy,
Lesson Exponential Models & Logarithms
SACWAY STUDENT HANDOUT SACWAY BRAINSTORMING ALGEBRA & STATISTICS STUDENT NAME DATE INTRODUCTION Compound Interest When you invest money in a fixed- rate interest earning account, you receive interest at
Lesson 5: Modeling with Linear vs. Exponential Regents Prep
Name: Period: Date: : Modeling with Linear vs. Exponential Regents Prep 1. Rachel and Marc were given the information shown below about the bacteria growing in a Petri dish in their biology class. Rachel
MLC at Boise State Lines and Rates Activity 1 Week #2
Lines and Rates Activity 1 Week #2 This activity will use slopes to calculate marginal profit, revenue and cost of functions. What is Marginal? Marginal cost is the cost added by producing one additional
Further Mathematics 2016 Core: RECURSION AND FINANCIAL MODELLING Chapter 6 Interest and depreciation
Further Mathematics 2016 Core: RECURSION AND FINANCIAL MODELLING Chapter 6 Interest and depreciation Key knowledge the use of first- order linear recurrence relations to model flat rate and unit cost and
AQR Spring Final Exam Review
Name: Class: Date: AQR Spring Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Anchorage, Alaska and Augusta, Georgia have very different
7th Grade. Percents.
1 7th Grade Percents 2015 11 30 www.njctl.org 2 Table of Contents Click on the topic to go to that section Relating Fractions, Decimals and Percents Three Types of Percent Problems Percent of Change Representing
Arithmetic Revision Sheet Questions 1 and 2 of Paper 1
Arithmetic Revision Sheet Questions and of Paper Basics Factors/ Divisors Numbers that divide evenly into a number. Factors of,,,, 6, Factors of 8,,, 6, 9, 8 Highest Common Factor of and 8 is 6 Multiples
100 3 e.g. to a percentage becomes
PERCENTAGES Percentage (written %) means "out of one hundred" i.e. % means "twelve out of a hundred" or 00 50 50% means "50 out of a hundred" or 00 Fractions and decimals can easily be changed into percentages
Name. Unit 4B: Exponential Functions
Name Unit 4B: Exponential Functions Math 1B Spring 2017 Table of Contents STANDARD 6-LINEAR vs EXPONENTIAL FUNCTIONS... 3 PRACTICE/CLOSURE... 4 STANDARD 7-CREATING EXPLICIT EQUATIONS... 10 COMPOUND INTEREST
Academic IELTS Writing task 1 Sample 1 - Male and female workers in 1975 and 1995 in several employment sectors of the republic of Freedonia
1 Academic IELTS Writing task 1 Sample 1 - Male and female workers in 1975 and 1995 in several employment sectors of the republic of Freedonia The graphs below show the numbers of male and female workers
MBF 3C1. Final Examination
MBF 3C1 Section Marks Available Marks Earned Section 1 Multiple Choice 20 Section 2 True/False 10 Section 3 Full Solution 80 TOTAL 110 Page 1 of 11 SECTION 1: MULTIPLE CHOICE 20 Marks (Circle answers on
Contents. Heinemann Maths Zone
Contents Chapter 1 Finance R1.1 Increasing a price by a percentage R1.2 Simple interest (1) R1.3 Simple interest (2) R1.4 Percentage profit (1) R1.5 Percentage profit (2) R1.6 The Distributive Law R1.7
Please show work for all calculated answers. Show work in a neat and organized manner.
Math 083 Review for Exam 1 Name Please show work for all calculated answers. Show work in a neat and organized manner. 1) Using the frequency table for a monthly budget, find all of the relative frequencies
6-6 Simple and Compound Interest
Find the simple interest. Round to the nearest cent, if necessary. 1. $1350 at 6% for 7 years $567 2. $240 at 8% for 9 months $14.40 3. $725 at 3.25% for 5 years $117.81 4. $3750 at 5.75% for 42 months