Identifying Proportional Relationships in Written Descriptions

Does the following graph represent a proportional relationship?

• No, because it does not start at the origin.

• No, because it is not a straight line.

• Yes, because it starts at the origin.

• Yes, because it is a straight line.

Does the equation g=1/4w represent a proportional relationship? If so, identify the constant of proportionality.

• Proportional; k=1/4

• Proportional; k=4

• Not Proportional

Does the following table represent a proportional relationship? If so, identify the constant of proportionality and create an equation to represent it.

• Proportional; k=8; y=8x

• Not Proportional

• Proportional; k = -8; y=-8x

• Proportional; k=1/8; y=1/8x

This is a table with a proportional relationship between A and B.  Find the missing value of B. 

• 33

• 44

• 32

• 48

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

• Graph A

• Graph B

• Graph C

• Graph D

What is the constant of proportionality?

• k = 15 gallons of water per minute

• k = 1/15 gallons of water per minute

• k = 15 minutes per gallon of water

• k = 1/15 minute per gallons of water

The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.

• The table is not proportional because there is not a constant of proportionality.

• The table is proportional and the constant of proportionality is 1/13.

• The table is proportional and the constant of proportionality is 13.

Determine the constant of proportionality for the following graph and create an equation to represent the proportional relationship.

• k = 60 miles per hour; m=60h

• k = 1/60 miles per hour; m=1/60h

• k = 60 hours per mile; h=60m

• k = 60 miles per hour; h=60m

Create an equation to represent the proportional relationship in the following table.

• b=3a

• y=3x

• y=1/3x

• There is no equation because the table is not proportional.

What equation is ALWAYS used to determine proportional relationships?

• x=ky

• y=kx

• y=k

• y=x