Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 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 4 pounds of bananas cost $6, the unit rate is $6 ÷ 4 = $1.50 per pound.

Front

If a car travels 160 miles in 4 hours, what is its speed in miles per hour?

Back

40 miles per hour (160 miles ÷ 4 hours = 40 miles per hour).

Front

How far will a car travel at a speed of 40 miles per hour in 3.5 hours?

Back

140 miles (40 miles per hour × 3.5 hours = 140 miles).

Front

If it snows at a rate of 3 inches per hour, how much snow will accumulate in 2.5 hours?

Back

7.5 inches (3 inches per hour × 2.5 hours = 7.5 inches).

Front

What is the formula to find the total distance traveled?

Back

Total Distance = Speed × Time.

Front

If 4 quarts of paint cover 560 square feet, how many square feet does 1 quart cover?

Back

140 square feet (560 square feet ÷ 4 quarts = 140 square feet per quart).

Front

How many quarts of paint are needed to cover 140 square feet if 1 quart covers 140 square feet?

Back

1 quart.

Front

What is the cost per pound if 4 pounds of bananas cost $6?

Back

$1.50 per pound ($6 ÷ 4 pounds = $1.50 per pound).