Recognize 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

How can you identify a proportional relationship in a table?

Back

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

Front

What does it mean if a table does not represent a proportional relationship?

Back

It means that the ratios of the corresponding values are not constant.

Front

What is the significance of equivalent ratios in proportional relationships?

Back

Equivalent ratios indicate that two quantities increase or decrease at the same rate.

Front

How can you determine if two ratios are proportional?

Back

Two ratios are proportional if their cross products are equal.

Front

What is the formula for finding a constant of proportionality?

Back

The constant of proportionality can be found using the formula k = y/x, where y and x are the quantities.

Front

What does a graph of a proportional relationship look like?

Back

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

Front

What does it mean if a graph does not show a proportional relationship?

Back

It means that the line does not pass through the origin or is not straight.

Front

Can a proportional relationship exist with negative values?

Back

Yes, a proportional relationship can exist with negative values as long as the ratio remains constant.

Front

What is 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.