Linear Relationships: Proportional and Non-Proportional

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 is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio is not constant.

Front

How can you identify a proportional relationship from a graph?

Back

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

Front

What does it mean if a graph is linear but non-proportional?

Back

It means the graph is a straight line but does not pass through the origin, indicating a constant rate of change that is not zero.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is equal to the constant ratio of the two quantities.

Front

What is the slope of a non-proportional linear relationship?

Back

The slope of a non-proportional linear relationship is constant but does not represent a constant ratio of the two quantities.

Front

Give an example of a proportional relationship in real life.

Back

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

Front

Give an example of a non-proportional relationship in real life.

Back

An example is the relationship between the number of hours worked and total pay when there is a fixed salary plus overtime.

Front

What is a table of values?

Back

A table of values is a way to organize pairs of numbers that show the relationship between two variables.

Front

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

Back

If the ratios of corresponding values are constant, the table represents a proportional relationship.