Proportional & Non-Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is when two quantities increase or decrease at the same rate, meaning their ratio remains constant.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is when two quantities do not maintain a constant ratio, meaning they do not increase or decrease at the same rate.

Front

How can you tell if a graph is proportional?

Back

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

Front

What does it mean if a table shows proportional values?

Back

If a table shows proportional values, the ratio of y to x is the same for all pairs of values.

Front

What is the ratio in a proportional relationship?

Back

The ratio in a proportional relationship is the same for all corresponding values of the two quantities.

Front

Can a graph be both proportional and non-proportional?

Back

No, a graph is either proportional or non-proportional, not both.

Front

What is an example of a proportional relationship?

Back

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

Front

What is an example of a non-proportional relationship?

Back

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

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 do you find if a table is proportional?

Back

To find if a table is proportional, divide y by x for each pair and see if the result is the same.