Proportional Relationships from Tables and Graphs

Mr. Diaz changed his shower head to conserve water and energy. The table shows the relationship between the amount of flow and the duration of the water flow.

Which statement BEST describes the rate of water flow?

• 0.4 gallons per minute

• 2.1 gallons per minute

• 2.5 gallons per minute

• 3.0 gallons per minute

What is the constant of proportionality?

• $3

• $4

• $2

• $9

Is the given table a proportional relationship? If so, what is the constant?

• Yes; 1/3

• Yes; 3

• Yes; 5

• No

• A

• B

• C

• D

Which tables and graphs show a proportional relationship?

• A,C,F

• B,D,E

• B,C,F

• A,B,D

• Proportional

• Non-Proportional

Given the graph of a line that passes through the origin and the point (4, 8), which of the following is true about the relationship between x and y?

• The relationship is not proportional.

• The relationship is proportional, and the constant of proportionality is 0.5.

• The relationship is proportional, and the constant of proportionality is 2.

• The relationship is proportional, but the constant of proportionality cannot be determined.

Is this a proportional relationship? 

• Yes

• No

A graph shows a straight line that passes through the points (0,0) and (5,15). What is the equation of the line that represents this proportional relationship?

Which representation shows a proportional relationship between x and y?

• A

• B

• C

• D