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.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if you earn $12 for 1 lawn, the unit rate is $12 per lawn.

Front

How do you calculate the price per gallon of gas?

Back

To find the price per gallon, divide the total cost by the number of gallons. For example, $46.80 ÷ 13 gallons = $3.60 per gallon.

Front

If Harry mowed 8 lawns for $96, how do you find his earnings per lawn?

Back

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

Front

What unit should be on the bottom when finding speed in miles per hour?

Back

The unit 'hour' should be on the bottom.

Front

How do you find the cost per apple if 7 apples cost $4.55?

Back

Divide the total cost by the number of apples: $4.55 ÷ 7 apples = $0.65 per apple.

Front

Which is a better buy: a 12-pack of soda for $3.50 or a 6-pack for $1.80?

Back

Calculate the cost per can: 12-pack: $3.50 ÷ 12 = $0.29 per can; 6-pack: $1.80 ÷ 6 = $0.30 per can. The 12-pack is the better buy.

Front

What is the formula to find a unit rate?

Back

Unit Rate = Total Quantity ÷ Number of Units.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

Speed = Distance ÷ Time = 150 miles ÷ 3 hours = 50 miles per hour.

Front

What does it mean if a rate is expressed as 'dollars per apple'?

Back

It means the cost of one apple is being compared to a dollar amount.