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. 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 quantities do not change in a consistent manner.

Front

How can you identify a proportional relationship on a graph?

Back

A proportional relationship can be identified on a graph if the line passes through the origin (0,0) and is straight.

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it indicates that the relationship is non-proportional.

Front

What is the significance of the slope in a proportional relationship?

Back

In a proportional relationship, the slope of the line represents the constant ratio between the two quantities.

Front

Can a proportional relationship have a slope of zero?

Back

No, a proportional relationship cannot have a slope of zero because that would indicate that one quantity does not change as the other does.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Front

What is an example of a non-proportional relationship in real life?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and total pay when there is a base salary plus overtime pay.

Front

How do you determine if a set of data points represents a proportional relationship?

Back

To determine if a set of data points represents a proportional relationship, check if the ratio of the y-values to the x-values is constant for all points.

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 the constant of proportionality.