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 is constant.

Front

What is the constant of proportionality in the equation y=6.5x?

Back

The constant of proportionality is 6.5.

Front

If y=5x+8, does this represent a proportional relationship?

Back

No, it does not represent a proportional relationship because of the constant term (8).

Front

How do you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of corresponding values are constant.

Front

What is the equation of a proportional relationship if y is directly proportional to x with a constant of proportionality of 3?

Back

The equation is y=3x.

Front

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

Back

He would earn $72.

Front

What does it mean if an equation is nonproportional?

Back

An equation is nonproportional if it includes a constant term or does not maintain a constant ratio between the variables.

Front

In a proportional relationship, what happens to y if x is doubled?

Back

If x is doubled, y is also doubled.

Front

What is the graphical representation of a proportional relationship?

Back

The graphical representation of a proportional relationship is a straight line that passes through the origin.

Front

What is the formula to find the constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where k is the constant.