5.5 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 does it mean for a graph to be proportional?

Back

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

Front

What is the unit rate in a proportional relationship?

Back

The unit rate is the constant ratio that describes how much of one quantity corresponds to one unit of another quantity.

Front

How can you tell if a graph is not proportional?

Back

A graph is not proportional if it does not pass through the origin or if it is not a straight line.

Front

What does the slope of a proportional graph represent?

Back

The slope represents the unit rate or the constant of proportionality between the two quantities.

Front

If a train travels 200 kilometers in 1 hour, how far will it travel in 4 hours?

Back

800 kilometers.

Front

What is the significance of the origin in a proportional graph?

Back

The origin (0,0) indicates that when one quantity is zero, the other quantity is also zero.

Front

Which of the following graphs is proportional? A straight line through the origin or a curvy line?

Back

A straight line through the origin is proportional.

Front

What does it mean if a graph has a curvy line?

Back

A curvy line indicates that the relationship between the two quantities is not proportional.

Front

In a proportional relationship, if you double one quantity, what happens to the other quantity?

Back

The other quantity also doubles.