Proportions 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 a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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When are unit rates useful?

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Unit rates are useful when you want to compare prices or quantities, such as finding the best deal or understanding how much of something you get for a certain price.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit price?

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To calculate a unit price, divide the total price by the number of units. For example, if a 1.25 L bottle of soda costs $1.29, the unit price is $1.29 / 1.25 L = $1.03 per liter.

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CCSS.6.RP.A.3B

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If Justin ordered 5 ice cream bars for $12.25, how much was each ice cream bar?

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Each ice cream bar costs $2.45.

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CCSS.6.NS.B.3

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What is the unit price of Coca-Cola if it costs $1.29 for 1.25 L?

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The unit price of Coca-Cola is $1.03 per liter.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the unit price of Pepsi if it costs $2.49 for 2 L?

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The unit price of Pepsi is $1.25 per liter.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

Which is the better deal: Coca-Cola at $1.29 for 1.25 L or Pepsi at $2.49 for 2 L?

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Pepsi is the better deal.

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CCSS.6.RP.A.3B

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If hamburger sells for 3 pounds for $6, how much will Alicia pay for 10 pounds?

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Alicia will pay $20.

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CCSS.6.RP.A.3B

Front

What is the formula to find the total cost when given the price per unit?

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Total Cost = Price per Unit × Number of Units.

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CCSS.7.RP.A.2C

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If x = 20, what is the value of x?

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x = 20.