Identify Proportional and Non-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 non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

If Shawn makes $7.50 an hour, is this a proportional relationship?

Back

Yes, because the amount earned is directly proportional to the number of hours worked.

Front

Does the table represent a proportional relationship if the values are (2, 5), (4, 10), (6, 15)?

Back

Yes, because the ratio of y to x is constant (2.5).

Front

Which of the following equations is proportional: y = 6x, y = 3x + 2, y = 2x + 4, y = -2x - 1?

Back

y = 6x is proportional because it passes through the origin and has a constant ratio.

Front

Does the equation y = 2x - 5 show a proportional relationship?

Back

No, because it does not pass through the origin.

Front

What is the constant of proportionality in the equation y = 4x?

Back

The constant of proportionality is 4.

Front

If a graph passes through the origin and is a straight line, what type of relationship does it represent?

Back

It represents a proportional relationship.

Front

What is the slope of a proportional relationship represented by the equation y = mx?

Back

The slope (m) is the constant of proportionality.

Front

Can a relationship be proportional if it includes a constant term?

Back

No, a proportional relationship cannot include a constant term; it must be in the form y = mx.