Rates, Unit Rates, Proportions

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).

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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.

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 4 apples cost $2, the unit rate is $2 ÷ 4 apples = $0.50 per apple.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then 1:2 is proportional to 2:4.

Front

How can you find the missing value in a proportion?

Back

To find the missing value in a proportion, cross-multiply and solve for the unknown. For example, if a/b = c/d, then ad = bc.

Front

If a store has 35 aisles and 20% are seasonal items, how many aisles are not seasonal?

Back

28 aisles are not seasonal items.

Front

When are unit rates useful?

Back

Unit rates are useful when you want to compare prices or quantities to determine the best deal.

Front

If Toby uses 12 grams of peanuts for 50 cups of peanut butter, how many grams does he use for 75 cups?

Back

Toby uses 18 grams of peanuts for 75 cups of peanut butter.

Front

How much does Alicia pay for 10 pounds of hamburger meat if it costs $6 for every 3 pounds?

Back

Alicia pays $20 for 10 pounds of hamburger meat.

Front

What is the relationship between 5 dogs and 20 cats in simplest form?

Back

The relationship is 1 dog for every 4 cats.