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.

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 that the relationship is non-proportional.

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Front

How can you determine if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the unit rate is constant for all pairs of values.

Front

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

Back

Proportional relationships have a constant ratio and pass through the origin, while non-proportional relationships do not.

Front

Give 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 does it mean for a relationship to be non-proportional?

Back

A non-proportional relationship means that the ratio between the two quantities is not constant.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) is significant because proportional relationships always pass through this point.

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship can be identified from a graph if it does not form a straight line or does not pass through the origin.

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 hours worked and total pay if there is a fixed fee plus hourly pay.