Understanding and representing rates Student Activity Sheet 1; use with Exploring Introduction to rates

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Malcolm Short
5 years ago
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1. Partway through a car trip, you stop for gas. Your odometer reads 35,208 miles. When you stop for gas the next time, the odometer reads 35,643 miles. You fill your tank with 15 gallons of gas.

1 1. Partway through a car trip, you stop for gas. Your odometer reads 35,208 miles. When you stop for gas the next time, the odometer reads 35,643 miles. You fill your tank with 15 gallons of gas. Fill in the blanks to calculate your car's miles per gallon between these two fill-ups. 2. It is possible for different cars on different trips to get the same gas mileage, or number of miles for every 1 gallon. Complete the chart so that the miles per gallon are the same, but the length of the trip and amount of gas used are different. Page 1 of 7

You and your friend are looking at a photograph of your relatives that was taken at the family reunion. Your friend wants to know each person's name. 3. Use the graph to name each person pictured.

2 You and your friend are looking at a photograph of your relatives that was taken at the family reunion. Your friend wants to know each person's name. 3. Use the graph to name each person pictured. Write the names in the blanks. 4. REINFORCE What process did you use to decide which name goes with which picture? Is it possible to decide by looking only at the heights, or only at the ages? 5. Discuss this statement: The older the family member, the taller that person REINFORCE is. Page 2 of 7

There are five phone companies and each has a different plan that comes with the phone. Each plan allows a fixed number of minutes in one month for a fixed cost.

3 There are five phone companies and each has a different plan that comes with the phone. Each plan allows a fixed number of minutes in one month for a fixed cost. The graph shows how the plans compare to one another. Identify the point that matches the description and explain your answers. 6. Which is the most expensive plan? 7. Which is the least expensive plan? 8. Which plan provides the most minutes per month? 9. Which plan provides the fewest minutes per month? 10. Do any two plans cost the same? 11. Do any two plans provide the same number of minutes per month? 12. Do any plans have the same rate of minute per cost? 13. Which plan is the worst deal? 14. Which plan is the best deal? Page 3 of 7

This graph shows the gas mileage of six hybrid cars. 15. Which car traveled the farthest? 16. Which car traveled the fewest miles? 17. Which car used the most gas? 18.

4 This graph shows the gas mileage of six hybrid cars. 15. Which car traveled the farthest? 16. Which car traveled the fewest miles? 17. Which car used the most gas? 18. Which car used the least amount of gas? 19. Which two cars get the same gas mileage? 20. Which car has the worst gas mileage? 21. Which car has the best gas mileage? Page 4 of 7

Dia works at her community pool. She is paid an hourly rate of $9.75 per hour. 22. Dia wants to calculate her gross pay, which is the total amount of money she is paid. a. What is a formula you can use to calculate Dia s gross pay?

5 Dia works at her community pool. She is paid an hourly rate of $9.75 per hour. 22. Dia wants to calculate her gross pay, which is the total amount of money she is paid. a. What is a formula you can use to calculate Dia s gross pay? b. Dia worked 30 hours last week. What is her gross pay? 23. The week before last, Dia was paid $ and worked 24 hours. Check to see if her hourly rate is correct. 24. Dia was paid $ one week last month. How many hours did she work? 25. Diego is saving money for a new video game player. He is able to save $62.50 REINFORCE every 5 months. Find two unit rates to describe Diego s savings situation. Page 5 of 7

6 26. REINFORCE 4 pounds of berries cost $ Find two unit rates to describe this situation. 27. REINFORCE Mario earns $6.70 per hour. He worked 18 hours last week. What was his pay? 28. REINFORCE Sandy received a paycheck of $ She worked 20 hours. What is her hourly rate? 29. REINFORCE Ford drives a package delivery truck. He earns $10.45 per hour and his pay this week was $ How many hours did he work during the week? 30. REINFORCE Charlene works for a computer company. She earned $ working a 40- hour week. She just found out that she will get a raise of $0.50 per hour. What will her new hourly rate be? 31. REINFORCE Cathy earns $6.19 per hour for her regular shift and $7.50 for overtime. She is paid overtime for all hours over 40 hours. What is her total pay for working 46 hours? Page 6 of 7

7 Genelle is making costumes for her 4 children for Halloween. They all want to be puppies. Each costume requires yards of spotted fur fabric, 1 yard of black fabric for the tail, and a 1 4 yard of brown felt for the ears. 32. REINFORCE Genelle needs to make 4 puppy costumes. How much material does she need? Explain for each type of material. a. spotted fur fabric: b. black fabric: c. brown felt: 33. REINFORCE Genelle has 10 yards of spotted fur fabric, 7 yards of black fabric, and yards of brown felt. a. How many puppy costumes can Genelle make? b. Which type of fabric will Genelle use up first? Explain how you figured this out. Page 7 of 7

Practice 5-4. Unit Rates and Slope. Name Class Date

Practice 5-4. Unit Rates and Slope. Name Class Date Name Class Date Practice 5-4 Unit Rates and Slope 5-4 Unit Rates and Slope 1. The graph shows the number of centimeters a particular plant grows over time. Given the points (0,0) and (4,6), how many centimeters