WorksheetsProportional and Nonproportional Relationships S2/A
Total questions: 46
Worksheet time: 1hrs 15mins
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?
Write an equation to represent the number of yards of fabric needed given a certain number of windows and the fabric Stephen will need to recover the chair. Does this represent a linear proportional or linear non-proportional relationship?
Noah has the following graphs in a card sort. Which graph represents a proportional relationship?
Graph A
Graph B
Graph C
Graph D
Daniel went to the carnival and the following tables were posted for various rides. His favorite ride has tickets that are not proportional to the cost. Which table does not show a proportional relationship?
Table A
Table B
Table C
Table D
Write the equations that represent the rides at the carnival.
Mike wrote the relationship between quarts and gallons in the table below. Which equation represents the relationship between the x- and y-values in the table?
y = 4x
y = 1/4x
y = 1/4x + 4
y = 1/x
Todd recorded the values of x and y in a table that represents a nonproportional relationship. What will be the value of y when x is 20?
63
70
35
84
Which of the following shows a proportional relationship?
Table with x values -2, -1, 1, 2 and corresponding y values -2, -3, -4, -5
Table with x values -2, -1, 1, 2 and corresponding y values 1, 0.5, -0.5, -1
Graph with a line passing through points in the coordinate plane
Graph with a line passing through points in the coordinate plane
Camila went to the local print shop to print photos from her cell phone camera roll. The number of photos printed, and the cost are shown in the table below. Is the relationship proportional or nonproportional? Write an equation to represent the table.
Ralphie graphed the following line on the coordinate plane shown below. Is the relationship proportional or nonproportional? Write an equation to represent Ralphie's graph.
Mr. Williams listed the following equations on the board. a. y = 4x − 2 b. y = 4/5 x c. y = 1/2 x + 2 d. y = 2.5x e. y = −3x Which of the equations listed represent nonproportional relationships?
A. a and c
B. b and d only
C. b, d, and e
D. e only
Jayden graphed a line on the coordinate plane as shown. Determine if the relationship is proportional or nonproportional.
Proportional
Nonproportional
Write the equation of the line.
The Drama Club is selling small bags of popcorn at an outdoor movie to raise money for their club. The club raises $3.75 for each bag it sells. What type of relationship is represented?
Linear proportional
Linear nonproportional
Write an equation to represent the total amount raised by the club given a certain number of bags of popcorn sold.
The Drama Club was surprised with an anonymous donation a week before the popcorn fundraiser. The Drama Club was given $100 for their club. How does this donation impact the graph and equation?
Write an equation to represent the total amount raised by the club given a certain number of bags of popcorn sold and the anonymous donation received.
Does this represent a linear proportional or linear non-proportional relationship?
Linear proportional
Linear nonproportional
Mr. Campbell wants to purchase school supplies for his children. He compared prices for folders from different stores. Which table represents a proportional relationship between the number of folders and the total cost?
Table A
Table B
Table C
Table D
Mrs. Franks bought 11 pounds of seafood for $38.50. Which is NOT proportional to the price Mrs. Franks paid for the seafood?
16.5 pounds of seafood for $57.75
24 pounds of seafood for $84.00
19 pounds of seafood for $65.50
31 pounds of seafood for $108.50
Determine if the relationship is proportional or nonproportional. Write the equation of the line.
Mr. Willis listed the following equations on the board. Circle the equations representing linear proportional relationships.
y = 4x^2
y = \frac{4}{5}x
y = \frac{1}{2}x + 2
y = 2.5x
y = -3x + 6
Shakira is a translator who was hired to translate documents for a legal firm. In order to meet her deadline, she can only spend 1/2 hour on each document she translates. Write an equation to represent the number of hours spent on the project given a certain number of documents translated. Is this relationship proportional or nonproportional?
Proportional
Nonproportional
Last week Shakira spent 5 hours translating documents for the legal firm. How does this additional time spent on the project impact the graph and the equation?
Proportional
Nonproportional
Write an equation to represent the number of hours spent on the project given a certain number of documents translated and the time Shakira already spent last week. Is this relationship proportional or nonproportional?
Proportional
Nonproportional
Marquis graphed the line shown below. Does the line he drew represent a proportional or nonproportional relationship? Write the equation of Marquis's graph.
Proportional
Nonproportional
Mr. Flores writes the following table on the board and asks students to classify it as linear or non-linear, and proportional or nonproportional, then write an equation for the relationship if possible. Ariana classified the table as linear nonproportional and wrote the equation y = –5x + 30. Is she correct? Explain.
Kendra recorded values from a school science experiment in the table below. She needs to verify that the relationship in the table is linear or nonlinear, proportional or nonproportional, and establish an equation for the table if it is possible. Linear [ ] Nonlinear [ ] Proportional [ ] Nonproportional [ ] Equation: _______________
Marvin listed amounts of his weekly savings in the table below. Is the relationship in the table linear or nonlinear, proportional or nonproportional? Determine an equation for the table if it is possible. Linear [ ] Nonlinear [ ] Proportional [ ] Nonproportional [ ] Equation: _______________
Is the relationship between money raised per player linear? Use the information in the problem to explain how you know.
Is the relationship described by the equation y = x^2 a linear and proportional situation?
Make a table using the equation to determine y-values. Then graph the ordered pairs.
Describe how you determined your answer.
Cynthia spends money on lunch each week. The table shows the amount of money she spends. Is the amount of money Cynthia spends each week a proportional or nonproportional relationship? Write an equation to represent the amount of money Cynthia spends on lunch each week.
Proportional
Nonproportional
Braylon lists the following values in the table, as shown below. Does the table of values represent a linear or nonlinear, proportional or nonproportional relationship? Write an equation if possible.
Linear, Proportional
Nonlinear, Proportional
Tristan recorded these points in the table to represent the number of cars washed and the amount of money he earns over several months. Is the relationship Tristan recorded linear?
A. Yes, the relationship is linear because the rate of change is 15 between each set of points.
B. No, the relationship is not linear because the ordered pair (0, 0) is not in the table.
C. Yes, the relationship is linear because the rate of change is different between all points.
D. No, the relationship is not linear because the rate of change is different between all points.
Ashton is asked to identify a nonproportional relationship from the graphs below. Which graph appears to show a proportional relationship between x and y?
Graph A
Graph B
Graph C
Graph D
