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Name _______________________________________ Date __________________ Class __________________ MODULE 12 Nonproportional Relationships Module Quiz: B 5. Which statement cannot be true of the graph of a proportional relationship? 1. This table shows a proportional relationship. A It is not linear. x 4 2 0 2 4 y 14 7 0 7 14 B It is a straight line. C It includes the origin. D It shows a constant ratio. Which ordered pair could also belong to this relationship? A (6, 21) C (1, 3) B (1, 3) D (6, 21) 2. Which line has a slope of 6. Which equation shows a proportional relationship? A y 1 and a 2 1 1 x 2 2 B y 2x 2 negative y-intercept? C y 1 x 2 D y 2 x 7. These two lines are graphs of nonproportional relationships. What makes them nonproportional? A line A C line C B line B D line D Use this situation for 3–4. A They are not straight. On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. B They are not linear C They do not go through the origin. D They do not show a constant ratio. 8. What is 3.4 million in scientific notation? 3. Which number is the slope of the line shown by the equation? A 14 C 70 B 40 D 75 A 3.4106 C 34 101 B 3.4 107 D 34 102 4. Which number is the y-intercept? A 14 C 70 B 40 D 75 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 59 Name _______________________________________ Date __________________ Class __________________ MODULE 12 Nonproportional Relationships 9. A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 per shirt. Complete the table of values for this situation. Shirts 1 5 10 14. Which lines show linear relationships? Which show proportional relationships? 50 Cost ($) 10. Find the slope and y-intercept of the line with equation 2y x 6. slope _______ y-intercept: _______ 11. Find the slope and y-intercept of the line through the points (3, 4) and (0, 1). slope _______ ________________________________________ 15. Steve started with $250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Use x for time and y for savings. Write an equation to represent each situation. y-intercept: _______ Use the grid for 12–13. ________________________________________ ________________________________________ 16. Graph one of the equations from Exercise 15. 12. Graph y 4 x 2 using the slope and 3 y-intercept. slope _______ ________________________________________ y-intercept: _______ ________________________________________ 13. Graph 2x 5y 10 by making a table of ordered pairs. 17. Compare. Write , , or . 5 x y 19 3 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 60 Name _______________________________________ Date __________________ Class __________________ 13. Sample answer: Module Quiz 11: D 1. B 2. B 3. C x 0 1 2 5 y 2 1.6 1.2 0 12. and 13. 4. B 5. A 6. B 7. B 8. A 9. Time (weeks) 10 20 25 Savings ($) 100 200 250 10. y 10x 11. $40/h 12. 14. linear: B, C, D; proportional: B 4 3 15. Steve: y 250 25x; Chelsea: y 30x 30 13. 5 m/s 14. Object A. The line has a steeper slope. 16. Students will graph one of these lines depending on which equation they chose. 15. 50 mi 16. 0.000017 m MODULE 12 Nonproportional Relationships Module Quiz 12: B 1. D 17. 2. D Module Quiz 12: D 3. B 1. C 4. D 2. B 5. A 3. A 6. C 4. C 7. C 5. A 8. A 6. B 9. 7. B Shirts 1 5 10 50 8. A Cost ($) 52 100 160 640 9. 10. 1 , 3 2 11. 1, 1 12. Shirts 1 2 3 4 Cost ($) 52 64 76 88 10. 8 4 , 2 3 11. 1 2 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 61 [footer zone 1]