Proportional vs NonProportional

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. This means that as one quantity increases or decreases, the other quantity does so in a consistent manner.

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 means that the change in one quantity does not consistently affect the other quantity.

Front

How can you identify a proportional graph?

Back

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

Front

How can you identify a non-proportional graph?

Back

A graph represents a non-proportional relationship if it is not a straight line or if it does not pass through the origin.

Front

What does it mean if a graph intersects the y-axis?

Back

If a graph intersects the y-axis, it means that the value of the dependent variable is not zero when the independent variable is zero, indicating a non-proportional relationship.

Front

What does it mean if a graph intersects the x-axis?

Back

If a graph intersects the x-axis, it means that the value of the dependent variable is zero at some point, but this does not determine if the relationship is proportional or non-proportional.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed in the form y = kx, where k is a constant.

Front

What is the equation of a non-proportional relationship?

Back

The equation of a non-proportional relationship may include a constant term, such as y = kx + b, where b is not equal to zero.

Front

Does the equation y = 3x represent a proportional relationship?

Back

Yes, because it can be expressed in the form y = kx, where k = 3.

Front

Does the equation y = 3x + 2 represent a proportional relationship?

Back

No, because it includes a constant term (2) that shifts the graph up, meaning it does not pass through the origin.