Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units. 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 unit. For example, if a car travels 60 miles in 1 hour, 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 gallons of gas cost $12, the unit rate is $12 ÷ 4 = $3 per gallon.

Front

Convert 2.5 miles to feet.

Back

2.5 miles = 13,200 feet (since 1 mile = 5280 feet).

Front

If 3 apples cost $1.50, what is the cost per apple?

Back

The cost per apple is $1.50 ÷ 3 = $0.50.

Front

What is the formula to find the total cost when given a unit price and quantity?

Back

Total Cost = Unit Price × Quantity.

Front

If a car travels 150 miles in 3 hours, what is the rate of travel?

Back

The rate of travel is 150 miles ÷ 3 hours = 50 miles per hour.

Front

How many ounces are in 3 pounds?

Back

3 pounds = 48 ounces (since 1 pound = 16 ounces).

Front

What is the price of gas if it costs $45 for 15 gallons?

Back

The price of gas is $45 ÷ 15 gallons = $3 per gallon.

Front

If a recipe requires 4 cups of flour for 2 cakes, how much flour is needed for 1 cake?

Back

You need 2 cups of flour for 1 cake (4 cups ÷ 2 cakes = 2 cups per cake).