Proportional vs. Non-Proportional Graphs & Tables

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 in a table?

Back

A table represents a proportional relationship if the ratios of corresponding values are the same.

Front

How can you identify a non-proportional relationship in a table?

Back

A table represents a non-proportional relationship if the ratios of corresponding values are different.

Front

What does a proportional graph look like?

Back

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

Front

What does a non-proportional graph look like?

Back

A non-proportional graph is a straight line that does not pass through the origin or a curve.

Front

If a table shows the values (2, 4), (3, 6), (4, 8), does it represent a proportional relationship?

Back

Yes, it represents a proportional relationship because the ratio is constant (1:2).

Front

If a table shows the values (1, 2), (2, 5), (3, 7), does it represent a proportional relationship?

Back

No, it does not represent a proportional relationship because the ratios are not constant.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio of one quantity to another in a proportional relationship.

Front

How do you find the constant of proportionality from a graph?

Back

You find the constant of proportionality by determining the slope of the line in a proportional graph.