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Introduction to Rates

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Introduction to Rates

A rate compares quantities measured in different units. A unit rate tells how much there is for 1 unit. Choose the best answer for each multiple-choice question unless it says “Select all that apply.” Show your calculations for the other problems.

Understanding Rates

1.Which statement best describes a rate?

A comparison of two quantities measured in the same units
A comparison of two quantities measured in different units
The sum of two quantities
A number written as a whole number

2.Which choices describe rates? Select all that apply.

48 pages per hour
6 oranges
$2.50 per pound
90 heartbeats per minute
12 stickers

3.A train travels 168 miles in 4 hours. What is its speed in miles per hour?

42 miles per hour
164 miles per hour
172 miles per hour
672 miles per hour

4.How do you find a unit rate from a rate such as 36 miles in 3 hours?

Add the miles and hours
Divide the miles by the hours to find miles for 1 hour
Multiply the miles by the hours
Subtract the hours from the miles

Calculate Unit Rates

Divide to find the amount for one unit. Include the correct units in each answer.

5.A pack of 18 markers costs $9. What is the cost per marker?

6.A car uses 12 gallons of gasoline to travel 324 miles. How many miles does it travel per gallon?

7.A baker uses 4 cups of oats to make 32 muffins. How many muffins can be made per cup of oats?

8.A fitness tracker records 252 steps in 3 minutes. What is the average number of steps per minute?

9.A 15-ounce jar of peanut butter costs $4.50. What is the price per ounce?

Rates in Everyday Situations

10.Brianna reads 45 pages in 30 minutes. How many pages does she read per minute? Show how you worked it out.

11.Hiroshi's lemonade recipe uses 5 cups of water to make 20 servings. How many servings does the recipe make per cup of water? Show a division sentence.

12.A printer produces 84 pages in 7 minutes. Find its rate in pages per minute, then explain what that rate means.