Proportional vs 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. 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. For example, y = x + 3 is non-proportional because the ratio of y to x changes.

Front

Which equation represents a proportional relationship?

Back

y = 2x is a proportional relationship because it can be expressed as y = kx, where k = 2.

Front

Which equation represents a non-proportional relationship?

Back

y = x + 3 is a non-proportional relationship because it includes a constant term that affects the ratio.

Front

How can you identify a proportional relationship from a graph?

Back

A proportional relationship on a graph is represented by 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 on a graph is represented by a straight line that does not pass through the origin.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant factor (k) in the equation y = kx that relates y and x in a proportional relationship.

Front

If y = 3x, what is the constant of proportionality?

Back

The constant of proportionality is 3.

Front

What does it mean if two quantities are directly proportional?

Back

If two quantities are directly proportional, it means that as one quantity increases, the other quantity increases at a constant rate.

Front

What does it mean if two quantities are inversely proportional?

Back

If two quantities are inversely proportional, it means that as one quantity increases, the other quantity decreases, and their product is constant.