Proportions and Unit rates

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you find a unit rate?

Back

To find a unit rate, divide the quantity by the number of units. For example, if you travel 60 miles in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

If a recipe requires 2 cups of flour for 4 servings, how much flour is needed for 10 servings?

Back

5 cups of flour (2 cups ÷ 4 servings = 0.5 cups per serving; 0.5 cups × 10 servings = 5 cups).

Front

What is the unit rate of 150 miles in 3 hours?

Back

50 miles per hour (150 miles ÷ 3 hours = 50 miles/hour).

Front

If 5 apples cost $3, what is the cost of 1 apple?

Back

$0.60 per apple ($3 ÷ 5 apples = $0.60/apple).

Front

What is the cross-multiplication method used for?

Back

Cross-multiplication is used to determine if two ratios are equivalent by multiplying the numerator of one ratio by the denominator of the other.

Front

If a car travels 240 miles in 4 hours, how far will it travel in 6 hours?

Back

360 miles (Unit rate: 240 miles ÷ 4 hours = 60 miles/hour; 60 miles/hour × 6 hours = 360 miles).

Front

What is the formula for finding a unit price?

Back

Unit price = Total price ÷ Number of units.

Front

If 12 cans of soda cost $24, what is the price per can?

Back

$2 per can ($24 ÷ 12 cans = $2/can).

Front

How do you set up a proportion to solve for x?

Back

Set up the equation as a/b = c/d, where a, b, c, and d are known values, and solve for x.