Proportional and 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. This means that as one quantity increases or decreases, the other 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 often occurs when the relationship does not pass through the origin.

Front

How can you identify a proportional relationship in a graph?

Back

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

Front

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

Back

If a graph does not go through the origin, it indicates a non-proportional relationship, meaning the ratio of the two quantities is not constant.

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

Can a straight line be non-proportional?

Back

Yes, a straight line can be non-proportional if it does not pass through the origin.

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 items purchased and the total cost when there is a fixed delivery fee.

Front

How do you determine if an equation represents a proportional relationship?

Back

To determine if an equation represents a proportional relationship, check if it can be simplified to the form y = kx without any additional constant.