Graphing 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

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 graph?

Back

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

Front

How can you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin and may curve or be a straight line that does not start at (0,0).

Front

What does the unit rate represent in a proportional relationship?

Back

The unit rate represents the amount of one quantity for every one unit of another quantity.

Front

If a table shows values (2, 4), (4, 8), (6, 12), is it proportional?

Back

Yes, it is proportional because the ratio of y to x is constant (y/x = 2).

Front

What is the unit rate for 120 miles in 2 hours?

Back

The unit rate is 60 miles per hour.

Front

What does it mean if a graph is linear?

Back

A linear graph indicates a constant rate of change, which is characteristic of proportional relationships.

Front

What is the significance of the origin in proportional relationships?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero, which is a key feature of proportional relationships.

Front

How do you determine if a set of data is proportional?

Back

You can determine if a set of data is proportional by checking if the ratios of corresponding values are constant.