Unit Rates and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you buy 5 apples for $10, the unit rate is $10 ÷ 5 apples = $2 per apple.

Front

If a car travels 240 miles in 4 hours, what is the unit rate in miles per hour?

Back

60 miles per hour.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions, which are equations that show two ratios are equal. For example, if 1 hour corresponds to 15 miles, then 4 hours corresponds to 60 miles.

Front

If a recipe calls for 3 cups of flour for 4 servings, how much flour is needed for 1 serving?

Back

0.75 cups of flour.

Front

What is the formula for finding a proportion?

Back

A proportion can be expressed as a/b = c/d, where a, b, c, and d are numbers.

Front

If 5 pounds of apples cost $10, what is the cost per pound?

Back

$2 per pound.

Front

What operation is primarily used to find unit rates?

Back

Division.

Front

If a person can read 120 pages in 3 hours, how many pages can they read in 1 hour?

Back

40 pages.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.