Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often with different units, such as speed (miles per hour) or price (cost per item).

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. 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 spend $15 for 3 pounds of apples, the unit rate is $15 ÷ 3 = $5 per pound.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, multiplying 2:3 by 2 gives you 4:6.

Front

If a bicycle wheel rotates 400 times in one mile, how many rotations does it make in 5 miles?

Back

2000 rotations.

Front

What is the formula to find the unit rate of speed?

Back

The formula for unit rate of speed is: Speed = Distance ÷ Time.

Front

If a person runs 10 kilometers in 50 minutes, what is their speed in kilometers per hour?

Back

12 km/h.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units, while ratios can compare any two quantities.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the numerator by the denominator to find the value per one unit of the second quantity.