Proportional Relationships

Front

What is a proportional relationship?

Back

A relationship between two quantities where the ratio of one quantity to the other is constant.

Front

How do you find the constant of proportionality (k)?

Back

k = y/x, where y is the dependent variable and x is the independent variable.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit of another quantity.

Front

If a machine folds 3,000 sheets in 20 minutes, what is the unit rate?

Back

150 sheets per minute.

Front

What does the ordered pair (x, y) represent in a proportional relationship?

Back

(x, y) represents the input (x) and the output (y) in a proportional relationship.

Front

If Perry earned $96 for shoveling snow from 8 driveways, how much does he earn per driveway?

Back

$12 per driveway.

Front

What does the point (2, 94) represent in a savings context?

Back

After 2 weeks, they save $94.

Front

How do you calculate the total amount earned based on a unit rate?

Back

Total Amount = Unit Rate × Number of Units.

Front

What is the formula for finding the unit rate from a total?

Back

Unit Rate = Total Amount / Total Units.

Front

If a car travels 240 miles in 4 hours, what is its speed in miles per hour?

Back

60 miles per hour.