Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with different units, such as miles per hour or dollars per pound.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if you pay $8 for 1 pound of concrete, the unit rate is $8 per pound.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

What is the unit rate of 60 miles in 1 hour?

Back

The unit rate is 60 miles per hour.

Front

If 4 apples cost $2, what is the cost per apple?

Back

The cost per apple is $2 ÷ 4 = $0.50 per apple.

Front

How are rates and unit rates similar?

Back

They both compare two different quantities of information.

Front

What is the cost per pound of a 20-lb bag of dog food that costs $23.44?

Back

The cost per pound is $23.44 ÷ 20 = $1.17 per pound.

Front

If you travel 150 miles in 3 hours, what is your speed in miles per hour?

Back

Your speed is 150 miles ÷ 3 hours = 50 miles per hour.

Front

What is the unit rate of 120 calories in 4 servings?

Back

The unit rate is 120 calories ÷ 4 servings = 30 calories per serving.

Front

If a car travels 240 miles on 8 gallons of gas, what is the miles per gallon?

Back

The miles per gallon is 240 miles ÷ 8 gallons = 30 miles per gallon.