Rates, Ratios and Unit Rates

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a:b'.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

What does it mean if a ratio is 3:5?

Back

It means for every 3 parts of one quantity, there are 5 parts of another quantity.

Front

If there are 30 tenants and the ratio of tenants to cars is 3:5, how many cars are there?

Back

50 cars.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different kinds of quantities, such as speed (miles per hour) or price (cost per item).

Front

If a hamburger costs $6 for 3 pounds, how much does it cost for 10 pounds?

Back

$20.

Front

What is the unit rate of 14 inches of snow in 5 hours?

Back

2.8 inches per hour.

Front

How do you determine if one rate is faster than another?

Back

Compare the unit rates. The one with the higher unit rate is faster.

Front

What is the ratio of flames to arms on a candle if there are 3 flames and 2 arms?

Back

3:2.

Front

If a teacher grades 25 assignments in 20 minutes, what is the rate of grading per assignment?

Back

1 assignment every 0.8 minutes.