Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with different units.

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1, showing how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the numerator by the denominator to find the amount per one unit.

Front

If a car travels 160 miles in 4 hours, what is the unit rate in miles per hour?

Back

40 miles per hour.

Front

What is the formula to find the total distance traveled given a speed and time?

Back

Total Distance = Speed × Time.

Front

If Harry mowed 8 lawns for $96, how do you find the amount earned per lawn?

Back

Divide the total earnings by the number of lawns: $96 ÷ 8 = $12 per lawn.

Front

What is the ratio of squares to circles if there are 12 squares and 6 circles?

Back

The ratio is 2:1.

Front

How do you simplify a ratio?

Back

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

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares quantities with different units.