Proportional or Non-proportional

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 a non-proportional relationship?

Back

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

Front

Example of a proportional relationship: If X = 1, Y = 2; If X = 2, Y = 4; If X = 3, Y = 6. Is this proportional or non-proportional?

Back

Proportional. The ratio Y/X = 2 is constant.

Front

Example of a non-proportional relationship: If X = 1, Y = 3; If X = 2, Y = 5; If X = 3, Y = 7. Is this proportional or non-proportional?

Back

Non-proportional. The ratio Y/X changes.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as k in the equation y = kx.

Front

If Y = 3X, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

How can you determine if a set of points is proportional?

Back

You can determine if a set of points is proportional by checking if the ratios of Y to X are the same for all points.

Front

If X = 4 and Y = 8, is this proportional to X = 2 and Y = 4?

Back

Yes, both pairs have a constant ratio of 2.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What does a graph of a non-proportional relationship look like?

Back

A graph of a non-proportional relationship does not pass through the origin and may curve or be a straight line that does not start at (0,0).