Graph Proportional Relationships

Does the graph show a proportional relationship between x and y?

• Yes

• No

The graph pictured shows the relationship between rainfall during the growing season and the growth if a type of plant. Which statements about the graph are true?

• The point (1,10) shows the constant of proportionality.

• The constant of proportionality is 5/7.

• The graph does not show a proportional relationship.

• The graph is a straight line through the origin.

• The point (28,20) means the type of plant grows 20 mm when it rains 28 cm.

What does the point (2, 94) represent in this situation?

• Every week, they earn $94.

• After 94 weeks, they save $2.

• After 1 week, they save $47.

• After 2 weeks, they save $94.

What qualities must a graph have in order for it to be proportional? (Select ALL that apply)

• Must cross through the Origin, point (0,0)

• Must always be positive

• Must be a line

• Must be a straight line; has to be linear

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

Which graphs cannot represent a proportional relationship? Select all that apply.

• A

• B

• C

• D

The point (12,5) is on the graph. What do the coordinates tell you about the water in the bucket?

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How many gallons of water were in the bucket after 1 second?

• 5/12

• 12/5

• 2.4

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth.

• Diego is the blue, Noah is the black

• Noah is the blue, Diego is the black

• They can both be either one

The graph shows a proportional relationship between a​ family's distance from home and the time they spent driving. What is the constant of​ proportionality? What does the point​ (1,49) represent?

• The distance to the destination.

• The time driven on the vacation.

• 49 hours and being 1 mile from home.

• 1 hour and being 49 miles from home.