Lesson 3.1 Assignment

Transcription

1 Lesson 3.1 Assignment Name Date Give Me a Ballpark Figure of the Cost Estimating and Calculating with Percents and Rates 1. Most states in the United States have a sales tax on nonessential items. Some states currently have a 5% sales tax rate. a. Estimate the sales tax for a flat screen TV that costs $ if the tax rate is 5%. b. Estimate the sales tax for a framed picture that costs $44.85 if the tax rate is 5%. c. The money that is collected from sales tax goes towards various things in the state budget. The table shows an example of the amount of the sales tax that goes toward various services that the state provides. Service Public Education Transportation Health and Human Services Amount 30% % If the state collects 50 billion dollars from sales tax, how much of it will go toward public education? Chapter 3 Assignments 49

2 Lesson 3.1 Assignment page 2 d. The state government is trying to find ways to trim the state budget. One way is to trim some of the workforce. The table shows various departments in the government and by how much they would like to trim the amount of employees. Department Environmental Protection Labor and Industry Agriculture Amount to Trim 20% 10% 1 8 f. If the Department of Environmental Protection currently has 300 employees, how many will it have after they trim the workforce? Explain how you determined your answer. e. If the Department of Labor and Industry currently has 500 employees, how many will it have after they trim the workforce? Explain how you determined your answer. f. If the Department of Agriculture currently has 720 employees, how many will it have after they trim the workforce? Explain how you determined your answer. 50 Chapter 3 Assignments

3 Lesson 3.2 Assignment Name Date One Size Fits All? Solving Percent Problems 1. The O! Natural Company sells juice products made from all natural ingredients. They decide to run a taste test of their juices versus another national brand of juice products. a. The company asks 200 tasters if they prefer their Berry Blue Juice over the other brand s berry juice. If 68% said yes, how many tasters prefer Berry Blue? Use one of Keisha s three rules from the text to solve. b. Eighty-five tasters were asked if they prefer the Mango Madness juice over the other brand s mango juice. If 35 of the tasters said yes, what percent said no? Use one of Keisha s three rules from the text to solve. c. In another taste test involving the Groovy Grape Juice, tasters were asked if they prefer this juice over the other brand s grape juice. Ninety people said they did prefer the Groovy Grape Juice. This was 45% of the total amount of tasters. How many tasters were tested? Use one of Keisha s three rules from the text to solve. Chapter 3 Assignments 51

4 Lesson 3.2 Assignment page 2 2. The O! Natural Company decides that it will focus its attention on the Berry Blue Juice line because it is preferred over the national brand berry juice. a. The current retail price of the juice is $3.50 for 1 gallon. In order to remain competitive, the company will decrease the price to $3.20. What percent of the original price are consumers going to pay? Use Corinne s method of proportions from the text to solve. b. The company decides that instead of selling individual juice bottles in 16 ounces they will decrease the volume of the juice by 15%. By what amount of volume will the juice decrease by? Use Corinne s method of proportions from the text to solve. 52 Chapter 3 Assignments

5 Lesson 3.2 Assignment page 3 Name Date 3. The O! Natural Company is trying to get schools in the state to sell their juice product at lunch. a. If the sales representative went to 300 schools and convinced 125 to sell their product, what percentage decided to not sell their product? Use both Corrine s method and Vicky s method from the text to solve. Chapter 3 Assignments 53

6 Lesson 3.2 Assignment page 4 b. The sales representative made a deal with the schools for a discount on the individual juice bottles. The company usually sells the bottles to the distributors for $2.25, but they are selling them to the schools for 15% off. For what price will they sell each bottle to the schools? Use both Corrine s method and Vicky s method from the text to solve. 54 Chapter 3 Assignments

7 Lesson 3.3 Assignment Name Date Mathematics and Nutrition Using Proportions and Percent Equations 1. Ben recently purchased a new home. In order to be able to afford the home, he came up with a budget that breaks down his monthly income as follows: 30% for housing, 20% for food, 22% for utilities, 10% for savings, 6% for entertainment, and 12% for personal items. Ben has a net income of $4000 per month. a. Calculate the amount of money that Ben will have each month for his budget items. Show your work using a proportion and a percent equation. Then, write a sentence to explain your answer. Use a Proportion Use a Percent Equation Housing Food Utilities Chapter 3 Assignments 55

8 Lesson 3.3 Assignment page 2 Use a Proportion Use a Percent Equation Savings Entertainment Personal Items 56 Chapter 3 Assignments

9 Lesson 3.3 Assignment page 3 Name Date b. Last month Ben spent $380 on food and $420 on personal items. What percent of his monthly income did he spend on these items? Show your work and then write a sentence to explain your answer in the table shown. Use a Proportion Use a Percent Equation Food Personal Items c. After 5 years, Ben s income has undergone several increases. Last month, Ben put $600 in savings, which was 10% of his net income. What is Ben s new monthly net income? Use a Proportion Use a Percent Equation Savings Chapter 3 Assignments 57

10 Lesson 3.3 Assignment page 4 d. Ben would like to purchase a new home. He figures out that his monthly housing costs for the new home will be $2100 per month. If he wants to keep the housing costs as 30% of his budget, what will his monthly net income need to be? Use a Proportion Use a Percent Equation Housing 58 Chapter 3 Assignments

11 Lesson 3.4 Assignment Name Date Be Mindful of the Fees! Using Percents 1. Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. a. Complete the table. Year Principal Balance Interest Rate Interest Earned 1 $1200 2% 2 $1224 2% 3 3% b. What is Serena s principal balance at the beginning of the fourth year? Show your work. Chapter 3 Assignments 59

12 Lesson 3.4 Assignment page 2 c. What is the percent increase in Serena s principal balance from the beginning of Year 1 to the beginning of Year 4? Round to the nearest percent. Show your work. d. At the beginning of Year 4, Serena withdraws $500 from her account. What is the percent decrease in her principal balance? Round to the nearest percent. Show your work. 60 Chapter 3 Assignments

13 Lesson 3.4 Assignment page 3 Name Date 2. Serena decides to invest money in the stock market. a. In the first year the value of her stock portfolio depreciated by 25%. If the value of the portfolio decreased by $600, what was the original value of the portfolio? How much is the portfolio worth now? b. Serena s portfolio unfortunately loses money over the next 3 years. The $1800 depreciates at a rate of 3% each year. Complete the table to record the value of the portfolio. Time (years) Value of Portfolio (dollars) Chapter 3 Assignments 61

14 Lesson 3.4 Assignment page 4 c. What was the percent decrease in the value of her initial investment in the stock portfolio? 62 Chapter 3 Assignments

15 Lesson 3.5 Assignment Name Date Shoe Super Store Solving Percent Problems Involving Proportions 1. In the community of Greendale, a local restaurant allows student based clubs to host fundraising nights. The organizations must hand out flyers ahead of time, and the customers who come to dine at the restaurant must present the flyer with their order. The restaurant will donate 15% of the total sales to the organization. a. If the sales total $8000, how much will the organization make? b. Write an equation representing the relationship between the dinner sales (d) and the amount (A) the organization will receive. c. What is the constant of proportionality? Interpret the constant of proportionality for this problem situation. d. What were the total dinner sales if the organization was given $885 by the restaurant? Explain your reasoning. Chapter 3 Assignments 63

16 Lesson 3.5 Assignment page 2 2. A restaurant also donates a percentage of its total sales for the entire day to a local soup kitchen. The table shows the total sales for different days and the amount that was donated to the soup kitchen. Total Sales (in dollars) Amount Donated (in dollars) 10, , , , a. What percent of the total sales does the restaurant donate to the soup kitchen? How do you know? b. Write an equation representing the relationship between the total sales (s) and the amount donated to the soup kitchen (d). c. What is the constant of proportionality? Interpret the constant of proportionality for this problem situation. d. If the restaurant donated $690 to the soup kitchen, what were the total sales for the day? 64 Chapter 3 Assignments