Proportional Relationships

Front

What is a proportional relationship?

Back

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

Front

What is a unit rate?

Back

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

Front

How do you find the constant of proportionality?

Back

The constant of proportionality can be found by dividing one quantity by the other in a proportional relationship.

Front

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

Back

The ordered pair (x, y) represents the relationship between two quantities, where x is the independent variable and y is the dependent variable.

Front

If a machine folds 3000 sheets in 20 minutes, what is the unit rate?

Back

The unit rate is 150 sheets per minute.

Front

How do you write an equation for a proportional relationship?

Back

An equation for a proportional relationship can be written in the form y = kx, where k is the constant of proportionality.

Front

What is the meaning of the constant of proportionality in a real-world context?

Back

The constant of proportionality represents the rate at which one quantity changes in relation to another.

Front

How can you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and forms a straight line.

Front

What is the relationship between the unit rate and the constant of proportionality?

Back

The unit rate is the same as the constant of proportionality in a proportional relationship.

Front

If Perry earned $96 for shoveling 8 driveways, how much would he earn for 6 driveways?

Back

Perry would earn $72 for shoveling 6 driveways.