Unit Rates/Constant of Proportionality

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate the unit price?

Back

To calculate the unit price, divide the total price by the number of units. For example, if a product costs $2.48 for 10 slices, the unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value of the ratio of two proportional quantities. It is often represented as 'k' in the equation y = kx.

Front

If 3 apples cost $1.50, what is the unit price per apple?

Back

The unit price per apple is $1.50 ÷ 3 = $0.50 per apple.

Front

What is the equation for a proportional relationship?

Back

The equation for a proportional relationship is y = kx, where k is the constant of proportionality.

Front

If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?

Back

The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.

Front

How do you determine which deal is better when comparing unit prices?

Back

To determine which deal is better, calculate the unit price for each option and compare them. The option with the lower unit price is the better deal.

Front

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or relationship to each other.

Front

If a recipe requires 4 cups of flour for 2 cakes, what is the unit rate of flour per cake?

Back

The unit rate of flour per cake is 4 cups ÷ 2 cakes = 2 cups of flour per cake.

Front

What is the unit rate if a person earns $300 for 10 hours of work?

Back

The unit rate is $300 ÷ 10 hours = $30 per hour.