Proportional vs 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 is constant. For example, if y = kx, where k is a constant, then y is proportional to x.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant. This can occur when there is an added constant or when the relationship does not pass through the origin.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship graph is a straight line that does not pass through the origin or a curve.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is a non-zero constant.

Front

What is the equation of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = mx + b, where b is not equal to 0.

Front

If y = 3x, is this relationship proportional or non-proportional?

Back

Proportional.

Front

If y = 2x + 5, is this relationship proportional or non-proportional?

Back

Non-proportional.

Front

What does it mean if a relationship is described as 'directly proportional'?

Back

It means that as one quantity increases, the other quantity increases at a constant rate.

Front

What does it mean if a relationship is described as 'inversely proportional'?

Back

It means that as one quantity increases, the other quantity decreases, and vice versa, such that their product is constant.