Lesson 5.7 Assignment

Transcription

1 Lesson 5.7 Assignment Name Date Water Is a Precious Resource Using Multiple Ratio Representations to Solve Problems 1. Ellen loves to make her own clothes. With 45 yards of cloth, she can make 5 dresses. Explain your reasoning for each question by using the double number line. Yards of fabric 0 45 Number of dresses 0 5 a. If Ellen has 72 yards of cloth, how many dresses can she make? b. If Ellen has 18 yards of cloth, how many dresses can she make? c. If Ellen wants to make dresses for her 6 cousins, how many yards of cloth does she need? d. If Ellen is going to make a dress for herself, how many yards of cloth does she need? Chapter 5 Assignments 101

2 Lesson 5.7 Assignment page 2 2. To accessorize her new dresses, Ellen decides to order textured stockings from an online store. The graph shows the costs of orders of stockings. y 40 Cost of Stockings Total Cost ($) x Number of Pairs of Stockings a. Write each point on the graph as a ratio of number of pairs of stockings : total cost of the order. b. How much would an order of 5 pairs of stockings cost? Explain the method you used. 102 Chapter 5 Assignments

3 Lesson 5.7 Assignment page 3 Name Date c. How much would an order of 6 pairs of stockings cost? Explain the method you used. d. How much would an order of 10 pairs of stockings cost? Explain the method you used. Chapter 5 Assignments 103

4 104 Chapter 5 Assignments

5 Lesson 5.8 Assignment Name Date What Is the Better Buy? Introduction to Unit Rates 1. Damon is buying water bottles for the runners in the upcoming cross country meet. He shops around at 3 different stores to find the best deal on water. Store 1: 24 bottles for $6.96 Store 2: 16 bottles for $4.96 Store 3: 32 bottles for $10.56 a. Calculate the price per bottle at each store. b. At which store would Damon get the best deal on water? 2. Bananas are a great source of energy for runners before or after a long run. Damon decides to get bunches of bananas for teams of runners to eat at the end of a meet. He gives each team a bunch of bananas to share equally. Team 1, which has 5 runners, got a bunch of 6 bananas. Team 2, which has 3 runners, got a bunch of 4 bananas. Team 3, which has 8 runners, got a bunch of 10 bananas. a. How many bananas does each runner on Team 1 get? Explain your work. b. How many bananas does each runner on Team 2 get? Explain your work. Chapter 5 Assignments 105

6 Lesson 5.8 Assignment page 2 c. How many bananas does each runner on Team 3 get? Explain your work. d. Which team got the most bananas per runner? 3. Beth, Kelly, Andrea, and Amy are all training for the local marathon. a. Beth can run 7.5 miles per hour. At this rate, how far will she run in the first 3 hours of the marathon? b. Kelly runs 13.5 miles in 2 hours. What is her rate? c. Andrea is the slowest runner in the group. She can run 5.5 miles per hour. At this rate, how many miles will she run in the first 3 hours of the marathon? d. Amy wants to run the 26 miles of the marathon in 4.5 hours. At what rate will she have to run to reach this goal? 4. At a workout designed to increase speed, Beth runs 800 meters in 2 1 minutes. Kelly runs meters in 4 1 minutes. Who is the faster runner in this workout? Chapter 5 Assignments