Proportional and Nonproportional Relationships in Graphs

The cost of popcorn is $2.50 for each bag.

• Proportional

• Nonproportional

The table shows the distance of a train from a station and the time it will take to arrive. The relationship is linear. Is it proportional or nonproportional?

• Proportional

• Nonproportional

• Neither

• Both

Determine if the linear relationship is proportional or nonproportional. 

• Proportional

• Nonproportional

• Neither

Which table shows a proportional relationship?

• A

• B

• C

• D

These two lines are graphs of nonproportional relationships. What makes them nonproportional?

• They are not straight

• They are not linear

• They do not go through the origin

• They do not show a constant rate of change

Does this graph show a proportional relationship?

• Yes

• No

Which statement cannot be true of the graph of a proportional relationship?

• It is not linear (straight)

• It is linear

• It includes the origin

• It shows a constant rate of change

Which shows a proportional relationship?

• y = 1/2x - 1/2

• y = 1/2x

• y = 2x - 2

• y = 2x + 2

Does the table represent a proportional relationship?

• Yes.

• No.

Which statement best describes the relationship between x and y in the table?

• Proportional

• Not Proportional