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 a quantity of one. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.

Front

What mathematical operation does unit rates involve?

Back

Division.

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 have 150 miles and 5 gallons, the unit rate is 150 miles ÷ 5 gallons = 30 miles per gallon.

Front

If you travel 150 miles on 5 gallons, how far did you travel per gallon?

Back

30 miles.

Front

If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?

Back

$2.45.

Front

What is the formula for finding a proportion?

Back

A proportion is an equation that states that two ratios are equal. The formula is a/b = c/d, where a, b, c, and d are numbers.

Front

If Mr. Foster drove 160 kilometers in 2 hours, what is his speed in kilometers per hour?

Back

80 kilometers per hour.

Front

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, write two ratios equal to each other and cross-multiply to solve for the unknown. For example, if x/5 = 10/2, then cross-multiply to get 2x = 50.

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to create proportions, as they both compare quantities. A unit rate is a specific type of ratio that compares a quantity to one unit of another quantity.

Front

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

Back

60 miles per hour.