Proportional and Nonproportional Relationships Table

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 where the ratio of one quantity to another is not constant.

Front

How can you identify a proportional relationship in a table?

Back

If the ratios of corresponding values are the same, the relationship is proportional.

Front

What does it mean if a graph passes through the origin?

Back

If a graph passes through the origin (0,0), it indicates a proportional relationship.

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is a constant.

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is equal to the constant of proportionality (k).

Front

What does a linear graph represent?

Back

A linear graph represents a constant rate of change between two variables.

Front

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

Back

Proportional graphs are straight lines that pass through the origin, while non-proportional graphs do not.

Front

What is an example of a proportional relationship in real life?

Back

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

Front

What is an example of a non-proportional relationship?

Back

An example is the relationship between the number of items purchased and the total cost when there is a fixed fee.