Unit Rates

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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.

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How do you calculate the unit rate from a ratio?

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To calculate the unit rate from a ratio, divide the first quantity by the second quantity. For example, if a recipe uses 4 cups of flour for 8 cookies, the unit rate is 4 cups ÷ 8 cookies = 0.5 cups per cookie.

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If a store sells 15 apples for $3.75, how do you find the cost per apple?

Back

To find the cost per apple, divide the total cost by the number of apples: $3.75 ÷ 15 apples = $0.25 per apple.

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What is the formula to find speed in miles per hour?

Back

The formula to find speed is: Speed = Distance ÷ Time. For example, if a cyclist travels 90 miles in 3 hours, the speed is 90 miles ÷ 3 hours = 30 mph.

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

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To determine if one rate is faster than another, compare the unit rates. For example, if one teacher grades 25 assignments in 20 minutes and another grades 36 in 30 minutes, calculate the unit rates and compare them.

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What is the unit rate of typing speed if Justin types 408 words in 4 minutes?

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To find the unit rate of typing speed, divide the total words by the time: 408 words ÷ 4 minutes = 102 words per minute.

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If a recipe requires 4 cups of flour for 8 cookies, how much flour is needed for 1 cookie?

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To find the amount of flour needed for 1 cookie, divide the total flour by the number of cookies: 4 cups ÷ 8 cookies = 0.5 cups per cookie.

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What is the unit rate of grading homework assignments if a teacher grades 25 in 20 minutes?

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To find the unit rate, divide the number of assignments by the time: 25 assignments ÷ 20 minutes = 1.25 assignments per minute.

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How do you convert a ratio to a unit rate?

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To convert a ratio to a unit rate, divide the first number by the second number to express it as a quantity of one.

Front

What is the average speed of a cyclist who travels 90 miles in 3 hours?

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The average speed is calculated as: Speed = Distance ÷ Time = 90 miles ÷ 3 hours = 30 mph.