Ratios, Rates and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two 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, such as 30 miles per gallon or $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 to find the amount per one unit.

Front

If you travel 150 miles on 5 gallons of gas, what is the unit rate in miles per gallon?

Back

30 miles per gallon.

Front

What is the ratio of 4 triangles to 12 squares?

Back

1 : 3 (simplified from 4 : 12).

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor.

Front

If an 8 pack of juice boxes costs $4.79 and a 12 pack costs $6.59, how do you determine the better buy?

Back

Calculate the cost per juice box for each pack and compare.

Front

What is the cost per juice box in an 8 pack?

Back

$4.79 ÷ 8 = $0.59875 per juice box.

Front

What is the cost per juice box in a 12 pack?

Back

$6.59 ÷ 12 = $0.5491667 per juice box.