Unit Rates/Constant of Proportionality

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 can buy 3 apples for $1.50, the unit rate is $0.50 per apple.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if you have 12 miles driven in 3 hours, the unit rate is 12 miles ÷ 3 hours = 4 miles per hour.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two proportional quantities. It is the unit rate when comparing the two quantities.

Front

If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

Back

50 miles per hour.

Front

What is the unit rate of 5 pounds of apples costing $10?

Back

$2 per pound.

Front

If a recipe requires 4 cups of flour for 2 cakes, what is the unit rate of flour per cake?

Back

2 cups of flour per cake.

Front

How do you find the unit rate from a fraction?

Back

To find the unit rate from a fraction, divide the numerator by the denominator. For example, for 1/2 liter every 2/3 hour, the unit rate is (1/2) ÷ (2/3) = 3/4 liter per hour.

Front

What is the unit rate of 60 miles in 1.5 hours?

Back

40 miles per hour.

Front

If a box of cereal costs $4.50 for 36 ounces, what is the unit rate per ounce?

Back

$0.125 or 12.5 cents per ounce.

Front

What is the unit rate of 10 gallons of paint costing $50?

Back

$5 per gallon.