Unit Rates

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of 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 you have 150 apples for $30, the unit rate is $30 ÷ 150 apples = $0.20 per apple.

Front

If a puma runs 315 meters in 14 seconds, what is its speed in meters per second?

Back

The speed is 315 meters ÷ 14 seconds = 22.5 meters per second.

Front

How far can a puma run in 20 seconds at the same speed?

Back

At 22.5 meters per second, in 20 seconds, the puma can run 22.5 m/s × 20 s = 450 meters.

Front

What is the unit price of 3 movie tickets for $29.25?

Back

The unit price is $29.25 ÷ 3 tickets = $9.75 per ticket.

Front

How do you determine which deal is better when comparing prices?

Back

Calculate the unit price for each option and compare them. The option with the lower unit price is the better deal.

Front

If 5 bags of apples cost $23.60, what is the cost per bag?

Back

The cost per bag is $23.60 ÷ 5 bags = $4.72 per bag.

Front

If 7 bags of apples cost $32.76, what is the cost per bag?

Back

The cost per bag is $32.76 ÷ 7 bags = $4.68 per bag.

Front

Which is the better deal: 5 bags for $23.60 or 7 bags for $32.76?

Back

The better deal is 7 bags for $32.76 because the cost per bag is lower.

Front

If Hannah's car travels 34 miles per gallon, how far can she drive with 5 gallons?

Back

Hannah can drive 34 miles/gallon × 5 gallons = 170 miles.