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

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

Back

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

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the ratio of two measurements in which the second measurement is 1. It represents how much of one quantity corresponds to one unit of another quantity.

Front

What does the constant of proportionality represent in the equation y = kx?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Front

If y = 6.5x, what is the constant of proportionality?

Back

The constant of proportionality is 6.5.

Front

How do you calculate the total amount earned based on a proportional relationship?

Back

To calculate the total amount earned, multiply the unit rate by the number of units.

Front

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

Back

Perry would earn $72 for shoveling 6 driveways.

Front

What is the formula for a proportional relationship?

Back

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

Front

What does it mean if a relationship is not proportional?

Back

If a relationship is not proportional, the ratio between the two quantities is not constant.

Front

How can you determine the constant of proportionality from a table of values?

Back

To determine the constant of proportionality from a table of values, divide the value of y by the corresponding value of x for any pair of values.