Non-Proportional Situations 8.5B

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 does it mean if a graph is linear?

Back

A linear graph represents a straight line, indicating a constant rate of change between the two variables.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship occurs when the ratio between two quantities is not constant, often represented by a straight line that does not pass through the origin.

Front

What does it indicate 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.

Front

What is the significance of the origin in proportional relationships?

Back

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

Front

How can you identify a proportional graph?

Back

A proportional graph can be identified by a straight line that passes through the origin.

Front

What is an example of a proportional situation?

Back

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

Front

What is an example of a non-proportional situation?

Back

An example of a non-proportional situation is the relationship between the number of items purchased and the total cost when there is a fixed delivery fee.

Front

What does a curvy line on a graph indicate?

Back

A curvy line on a graph indicates a non-linear relationship, which is typically non-proportional.

Front

What is the difference between proportional and non-proportional relationships?

Back

The difference is that proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not have a constant ratio and may not pass through the origin.