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 a unit rate?

Back

To calculate a unit rate, divide the quantity of one item by the quantity of another item. For example, if you have 10 apples for $5, the unit rate is $5/10 apples = $0.50 per apple.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) that relates two proportional quantities. It is the ratio of one quantity to another in a proportional relationship.

Front

Write the equation for a proportional relationship.

Back

A proportional relationship can be written as 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

What does it mean if two quantities are proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

If y = 15x, what is the constant of proportionality?

Back

The constant of proportionality is 15.

Front

How can you represent a proportional relationship on a graph?

Back

A proportional relationship can be represented on a graph as a straight line that passes through the origin (0,0).

Front

What is the unit rate if a person can run 10 miles in 5 hours?

Back

The unit rate is 10 miles / 5 hours = 2 miles per hour.

Front

If a recipe requires 3 cups of flour for 12 cookies, what is the unit rate of flour per cookie?

Back

The unit rate is 3 cups / 12 cookies = 0.25 cups per cookie.