Proportional Ratios Using Graphs

Select all graphs that show a proportional relationship.

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Water runs from a hose into a bucket at a steady rate. The amount of water in the bucket for the time it is being filled is shown in the graph.

Select all TRUE statements.

• 5 gallons of water filled in 12 seconds.

• 1 gallon of water filled in 2.2 seconds.

• It takes 2.4 seconds to fill 1 gallon.

• It takes 18 seconds to fill 7.5 gallons.

Select all true statements about proportional relationships.

• A proportional relationship's graph will go through the origin.

• A proportional relationship's equation will have addition or subtraction.

• A proportional relationship's equation will have multiplication.

• A proportional relationship's table of data will be full of equivalent ratios.

• A proportional relationship has a contant of proportionality.

Water runs from a hose into a bucket at a steady rate. The amount of water in the bucket for the time it is being filled is shown in the graph.

What does the point (12,5) tell you about the water in the bucket?

• In 12 seconds there is 5 gallons in the bucket.

• In 5 seconds there is 12 gallons in the bucket.

• F

• G

• H

• J

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

I noticed that the y-axis is labeled Distance, and the x-axis is time. To find the slope by dividing the distance by the time. What is the slope?

Mathematical Equivalence

ON

What type of relationship is represented by this graph?

• Additive because the line does not cross through the origin

• Proportional because the line does cross through the origin

Which graph is proportional?

• A

• B

• C and D

• All of the graphs are proportional

Which of the following graphs does not represent a proportional relationship?

• Graph A

• Graph B

• Graph C

• Graph D