Proportional vs Non-Proportional

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio, meaning as one quantity increases, the other increases at a consistent rate.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is one where the ratio between two quantities is not constant, meaning the relationship does not maintain a consistent rate of change.

Front

What is required for a graph to be proportional?

Back

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

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 a non-proportional relationship.

Front

How can you identify a proportional relationship in an equation?

Back

In an equation, a proportional relationship can be identified if it can be expressed in the form y = kx, where k is a constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is constant and represents the ratio of the change in y to the change in x.

Front

Give 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?

Back

An example of a non-proportional relationship is a flat fee for a service, such as a monthly subscription, where the cost does not change with usage.

Front

What does it mean for a graph to be linear?

Back

A linear graph is one that forms a straight line, which can represent both proportional and non-proportional relationships.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant in proportional relationships because it indicates that when one quantity is zero, the other quantity is also zero.