Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as miles per hour or cost per item.

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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 60 miles in 1 hour, the unit rate is 60 miles per hour.

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How do you find the unit rate from a total cost?

Back

To find the unit rate from a total cost, divide the total cost by the number of units. For example, if 5 pounds of meat cost $5.50, the unit rate is $5.50 ÷ 5 = $1.10 per pound.

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What are equivalent ratios?

Back

Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

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How can you determine which option is a better buy?

Back

To determine which option is a better buy, calculate the unit rate for each option and compare them. The option with the lower unit rate is the better buy.

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What is the formula to calculate the unit price?

Back

The formula to calculate the unit price is: Unit Price = Total Price ÷ Number of Units.

Front

If a box of 35 diapers costs $6.99, what is the unit price per diaper?

Back

The unit price per diaper is $6.99 ÷ 35 = $0.20.

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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.

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How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number so that one of the quantities equals one.

Front

What is an example of a real-life rate?

Back

An example of a real-life rate is the speed of a car, such as 50 miles per hour.