Rates and Unit Rate

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 a car travels 150 miles in 3 hours, the unit rate is 50 miles per hour.

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 $12 on 4 pounds of apples, the unit rate is $12 ÷ 4 = $3 per pound.

Front

If Maya makes $10 an hour, how many hours will it take her to earn $150?

Back

15 hours.

Front

What is the price of gas per gallon if it costs $46.80 to fill a 13-gallon tank?

Back

$3.60 per gallon.

Front

If Antonia can type 408 words in 4 minutes, how many words can she type per minute?

Back

102 words per minute.

Front

What are the units for a speed of 50 miles per hour?

Back

Miles and hours.

Front

If Will spent $3.75 for 3 pounds of granola, what is his unit rate in dollars per pound?

Back

$1.25 per pound.

Front

What is the formula to find the total cost when given a unit rate?

Back

Total Cost = Unit Rate × Quantity.

Front

How do you convert a rate to a unit rate?

Back

Divide the numerator by the denominator to express the rate as a quantity per one unit of the second quantity.