Proportional & Non-proportional (Equations)

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 means that the quantities do not change in a consistent manner.

Front

How can you identify a proportional relationship in an equation?

Back

An equation represents a proportional relationship if it can be written in the form y = kx, where k is a constant.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin (0,0), it indicates a proportional relationship between the two variables.

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

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

Back

An example of a proportional relationship is the cost of apples if they are sold at a constant price per pound.

Front

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

Back

An example of a non-proportional relationship is a flat fee for a service, regardless of the time spent.

Front

What does it mean if a graph is a straight line but does not go through the origin?

Back

If a graph is a straight line but does not go through the origin, it indicates a non-proportional relationship.

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 difference between direct variation and proportional relationships?

Back

Direct variation is a specific type of proportional relationship where the constant of variation is positive.