Proportional Relationships in Tables, Graphs, & Equations

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 for a relationship to pass through the origin?

Back

A relationship passes through the origin if when both quantities are zero, the point (0,0) is included in the graph of the relationship.

Front

How can you identify a proportional relationship in a table?

Back

A proportional relationship in a table can be identified if the ratios of corresponding values are constant.

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second measurement is one unit.

Front

If a table shows the number of apples and the number of trees, how can you determine if it is proportional?

Back

You can determine if it is proportional by checking if the unit rate (apples per tree) is constant.

Front

What is the significance of the point (0,0) in proportional relationships?

Back

The point (0,0) signifies that if there are zero of one quantity, there are also zero of the other quantity, indicating a direct relationship.

Front

How do you find the next values in a proportional table?

Back

To find the next values in a proportional table, multiply the previous values by the same constant factor.

Front

What does it mean if a table is not proportional?

Back

A table is not proportional if the ratios of the values are not constant or if it does not pass through the origin.

Front

What is 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

How can you represent a proportional relationship graphically?

Back

A proportional relationship can be represented graphically by a straight line that passes through the origin.