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. It tells you how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit rate from a total?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 70 miles in 2 hours, the unit rate is 70 miles ÷ 2 hours = 35 miles per hour.

Front

If Judy spent $13.20 for 12 candy bars, what is the price per candy bar?

Back

$1.10 per candy bar.

Front

What is the formula to find speed?

Back

Speed = Distance ÷ Time.

Front

If Liz rode her scooter 9 miles in 1.5 hours, what is her speed in miles per hour?

Back

6 miles per hour.

Front

How do you find the total distance traveled if you know the speed and time?

Back

Total Distance = Speed × Time.

Front

If Molly rollerbladed at a rate of 4.5 miles in 1.5 hours, how far will she go in 3 hours?

Back

9 miles.

Front

What is the relationship between distance, rate, and time?

Back

Distance = Rate × Time; this means if you know any two of these values, you can find the third.

Front

If Kelly baked 24 cookies in 40 minutes, how long would it take her to bake 72 cookies?

Back

120 minutes.