Proportional and Nonproportional Relationships S2/A

Sebastian recorded the following data in a table. Does Sebastian's data represent a proportional or nonproportional relationship?

• Proportional, because the x-values increase by 1.

• Proportional, because the relationship is nonlinear due to the data having negative values.

• Nonproportional, because the values have a constant rate of change of –2 and the y-intercept is not 0.

• Nonproportional, because the relationship is nonlinear due to the data having negative values.

Which of the following graphs represent a proportional relationship?

• Graph A

• Graph B

• Graph C

• Graph D

Gia made tables to record the heights of her plants over time. Which table does not show a proportional relationship?

• Table A

• Table B

• Table C

• Table D

The width of a rectangle is 8 inches less than twice the length of the rectangle. Which of the following statements is true?

• This is a nonproportional situation which is represented by the equation w = 2ℓ – 8.

• This is a nonproportional situation which is represented by the equation w = 2ℓ + 8.

• This is a proportional situation which is represented by the equation w = 2ℓ.

• This is a nonproportional situation which is represented by the equation ℓ = 2w – 8.

It costs $2 a minute to use the internet at a resort. Which statement is true?

• This is a proportional situation which is represented by the equation C = 20m + 5.

• This is a nonproportional situation which is represented by the equation C = 5 + 2m.

• This is a nonproportional situation which is represented by the equation C = 5 + 2(m – 20).

• This is a proportional situation which is represented by the equation C = 2m.

Hudson is asked to select the equation that represents a nonproportional situation. Which one is correct?

• y = x/3

• y = 4x – 3

• y = 0.8x

• y = 5x

The table shows the values of x and y as a proportional relationship. What is the missing value?

Write an equation to represent the number of yards of fabric needed given a certain number of windows.

Does this represent a linear proportional or linear non-proportional relationship? How do you know?

While Stephen was at his aunt's house, he decides he also needs 10 yards of fabric to recover a chair. How will this additional fabric to recover the chair impact the graph and equation?