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 cost (dollars per item).

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 2 hours, the unit rate is 30 miles per hour.

Front

How do you find a unit price?

Back

To find the unit price, divide the total cost by the number of items. For example, if 5 boxes of candy cost $12.54, the unit price is $12.54 ÷ 5 = $2.50 per box.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 3/4 = 6/8, then 3 and 4 are in proportion to 6 and 8.

Front

How do you solve for a missing number in a proportion?

Back

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

Front

If the ratio of red fish to blue fish is 3:5 and there are 20 blue fish, how many red fish are there?

Back

There are 12 red fish.

Front

What is the formula to find the unit rate of a quantity?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity ÷ Number of Units.

Front

If it snowed 14 inches in 5 hours, what is the unit rate of snowfall per hour?

Back

The unit rate of snowfall is 2.8 inches per hour.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide the numerator by the denominator to find the value per one unit.

Front

What is the relationship between rates and ratios?

Back

Rates are a specific type of ratio that compares two quantities with different units, while ratios can compare any two quantities.