Proportional Relationships and Constants of Proportionality

Is the graph proportional, inversely proportional or neither?

• Inversely Proportional

• Proportional

• Neither

g is directly proportional to b

Given g=20 when b=4.

Find g when b=7

• 35

• 5

• 15

• 23

What is the Constant of Proportionality in this example?

• 1/8

• 8

• 16

• 2

Which equation matches the graph?

• y = 8x

• y = 1x

• y = 3x

• y = 16x

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Party stores use helium cylinders to fill balloons. The table shows the number of balloons that can be filled with various helium cylinder sizes, measured in cubic feet.

Which graph represents the proportional relationship between the number of balloons filled, 𝒚, and the size of the helium cylinder, 𝒙?

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• 
• 
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Which Graph is inversely proportional?

• Graph B

• Graph C

• Graph A

• None

Which answer best describes this graph?

• nonlinear and nonproportional

• linear and nonproportional

• linear and proportional

• nonlinear and proportional

Which option best describes a proportional relationship? Circle all that apply.

• The line goes through the origin, (0,0).

• A proportional relationship has a downward curving slope.

• The point (1,k) is a solution to a proportional relationship.

• None are correct.

What is the rate of change for the following graph?

*Hint: you can make a table with your input and output. Or you can use the equation y = kx to solve for your constant.

• 16

• 1

• 8

• 2