Constants of Proportionality Relationships

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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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y is inversely proportional to x, and y = 15 when x = 3

What is the value of y when x = 9

• There is no solution.

• 45

• 9

• 5

Is this a proportional relationship?

• Yes

• No

Which answer best describes this graph?

• nonlinear and nonproportional

• linear and nonproportional

• linear and proportional

• nonlinear and proportional

Susan and Joe both insure their properties with the Oklahoma Insurance Company. The cost of house insurance premiums with the Oklahoma Insurance Company is directly proportional to the value of the property being insured. Susan pays premiums of $80 per month on her property valued at $160,000. How much does Joe pay on his property valued at $323,000?

• $2,000

• $75.20

• $161.50

• $44.60

Write an equation to represent the proportional relationship shown in the table.

• y=12x

• y=4x

• y=¼x

• y=¹²/₃x

In the equation y = 14x, what is the constant of proportionality?

• y

• x

• 14

• y=14

What is the constant of proportionality (in miles per hour) based on the table?

• 45

• 90

• 135

• 2

Write an equation to show the proportional relationship in the graph.

• y=¹/₅₂x

• y=104x

• y=52x

• y=¹/₁₀₄x