5) Proportional Relationships (Graphs)

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 quantity is constant.

Front

How do you find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if you have 30 laps in 10 minutes, the unit rate is 30 laps ÷ 10 minutes = 3 laps per minute.

Front

What does it mean if a graph is linear?

Back

A graph is linear if it forms a straight line, indicating a constant rate of change between the two variables.

Front

What is a non-linear graph?

Back

A non-linear graph does not form a straight line and indicates that the relationship between the variables is not constant.

Front

What is the difference between proportional and non-proportional relationships?

Back

In proportional relationships, the ratio between the two quantities remains constant. In non-proportional relationships, the ratio changes.

Front

If 9 concert tickets cost $279, what is the cost per ticket?

Back

$31

Front

If a table shows a constant ratio, what type of relationship does it represent?

Back

Proportional relationship.

Front

What does it mean if a graph is non-proportional?

Back

It means that the relationship between the variables does not maintain a constant ratio.

Front

How can you tell if a graph is proportional?

Back

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

Front

What is the unit rate of 30 laps in 10 minutes?

Back

3 laps per minute.