Rates & Unit Rates

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, like miles per hour or dollars per item.

Front

How do you calculate the cost per item?

Back

To find the cost per item, divide the total cost by the number of items. For example, if 7 apples cost $4.55, the cost per apple is $4.55 ÷ 7 = $0.65.

Front

What is the unit rate of 6 inches of snow that fell in 11 hours?

Back

The unit rate is 6 inches ÷ 11 hours = 0.55 inches per hour.

Front

If 10 miles are traveled in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 10 miles ÷ 2 hours = 5 miles per hour.

Front

What does it mean if a rate is not a unit rate?

Back

A rate is not a unit rate if it compares quantities that are not per one unit of the second quantity, such as 2 boxes of candy for $3.

Front

How can you use unit rates to predict future quantities?

Back

You can use unit rates to predict future quantities by multiplying the unit rate by the number of units you want to find. For example, if Christina buys 2 souvenirs per day, after 9 days, she will have 2 x 9 = 18 souvenirs.

Front

What is the formula for finding a unit rate?

Back

The formula for finding a unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If a worker earns $6 for each hour worked, what is the unit rate?

Back

The unit rate is $6 per hour.

Front

How do you convert a ratio to a unit rate?

Back

To convert a ratio to a unit rate, divide both parts of the ratio by the second part. For example, for the ratio 10:2, the unit rate is 10 ÷ 2 = 5.

Front

What is the cost of 3 packs of cards if each pack costs $2.14?

Back

The cost of 3 packs is 3 x $2.14 = $6.42.