Rates and unit rates

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What is a unit rate?

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A unit rate is a comparison of two different quantities where one of the quantities is expressed as one unit. For example, if you earn $6 for each hour worked, the unit rate is $6 per hour.

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How do you calculate the cost per item?

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To calculate the cost per item, divide the total cost by the number of items. For example, if 7 apples cost $4.55, the cost per apple is $4.55 ÷ 7 = $0.65.

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If 95 cars are washed in 5 days, how many cars are washed each day?

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To find the number of cars washed each day, divide the total number of cars by the number of days: 95 cars ÷ 5 days = 19 cars per day.

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CCSS.3.OA.A.3

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What is the total cost of 5 bags of candy if one bag costs $3.75?

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To find the total cost, multiply the cost of one bag by the number of bags: $3.75 × 5 = $18.75.

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CCSS.6.NS.B.3

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How do you find the average time for multiple items?

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To find the average time for multiple items, multiply the average time of one item by the number of items. For example, if one Harry Potter movie is 2.35 hours long, then 8 movies take 2.35 hours × 8 = 18.8 hours.

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CCSS.7.EE.B.3

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What is the formula for calculating unit rates?

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The formula for calculating unit rates is: Unit Rate = Total Quantity / Number of Units.

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CCSS.6.RP.A.1

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If a car travels 150 miles in 3 hours, what is the unit rate in miles per hour?

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To find the unit rate, divide the total miles by the total hours: 150 miles ÷ 3 hours = 50 miles per hour.

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CCSS.6.RP.A.1

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What does it mean if a rate is expressed as 'per unit'?

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It means that the rate is being compared to one unit of measurement, such as 'miles per hour' or 'dollars per item'.

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CCSS.6.RP.A.1

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How do you convert a rate to a unit rate?

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To convert a rate to a unit rate, divide both quantities by the same number to simplify it to one unit. For example, 10 miles in 2 hours becomes 5 miles in 1 hour.

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CCSS.6.RP.A.1

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What is the significance of unit rates in real life?

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Unit rates help us compare prices, speeds, and other quantities to make informed decisions, such as finding the best deal or understanding travel times.

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