Rates, Unit Rates, Proportions

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, usually with different units, such as speed (miles per hour) or price (dollars per pound).

Front

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 find the unit rate from a given rate?

Back

To find the unit rate, divide the first quantity by the second quantity. For example, if a recipe calls for 4 cups of flour for 2 cakes, the unit rate is 2 cups of flour per cake.

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 these two ratios are in proportion.

Front

How can you solve a proportion?

Back

To solve a proportion, you can cross-multiply and then divide. For example, if a/b = c/d, then ad = bc.

Front

If 3 pounds of hamburger meat cost $6, how much does 1 pound cost?

Back

$2 per pound.

Front

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

Back

50 miles per hour.

Front

If there are 5 dogs for every 20 cats, what is the ratio of dogs to cats?

Back

1 dog for every 4 cats.

Front

How do you convert a percentage to a fraction?

Back

To convert a percentage to a fraction, divide the percentage by 100 and simplify. For example, 25% = 25/100 = 1/4.

Front

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

Back

Total Cost = Unit Price × Quantity.