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Compare the rates of change of two functions

Grade 8 math · Fieldbook Learning

Name ______________________ Date __________

Find each function's rate of change (slope), then compare. Write A or B.

  1. Function A is y = 5x + 6. Function B is shown in a table: x = 0, 1, 2, 3 and y = 0, 4, 8, 12. Which function has the greater rate of change? Write A or B.
  2. Function A is y = 4x − 9. Function B is shown in a table: x = 0, 1, 2, 3 and y = −9, −7, −5, −3. Which function has the greater rate of change? Write A or B.
  3. Function A is y = x − 4. Function B is shown in a table: x = 0, 1, 2, 3 and y = −8, −4, 0, 4. Which function has the greater rate of change? Write A or B.
  4. Function A is y = 9x − 8. Function B is shown in a table: x = 0, 1, 2, 3 and y = −4, −1, 2, 5. Which function has the greater rate of change? Write A or B.
  5. Function A is y = 7x − 1. Function B is shown in a table: x = 0, 1, 2, 3 and y = 7, 10, 13, 16. Which function has the greater rate of change? Write A or B.
  6. Function A is y = 6x − 5. Function B is shown in a table: x = 0, 1, 2, 3 and y = 12, 23, 34, 45. Which function has the greater rate of change? Write A or B.
  7. Function A is y = 4x + 11. Function B is shown in a table: x = 0, 1, 2, 3 and y = −3, −1, 1, 3. Which function has the greater rate of change? Write A or B.
  8. Function A is y = 4x + 8. Function B is shown in a table: x = 0, 1, 2, 3 and y = 1, 12, 23, 34. Which function has the greater rate of change? Write A or B.
  9. Function A is y = 9x + 11. Function B is shown in a table: x = 0, 1, 2, 3 and y = −1, 12, 25, 38. Which function has the greater rate of change? Write A or B.
  10. Function A is y = 11x + 7. Function B is shown in a table: x = 0, 1, 2, 3 and y = −14, −2, 10, 22. Which function has the greater rate of change? Write A or B.
  11. Function A is y = 10x + 9. Function B is shown in a table: x = 0, 1, 2, 3 and y = −8, −5, −2, 1. Which function has the greater rate of change? Write A or B.
  12. Function A is y = 4x − 14. Function B is shown in a table: x = 0, 1, 2, 3 and y = 7, 13, 19, 25. Which function has the greater rate of change? Write A or B.
  13. Function A is y = 14x + 8. Function B is shown in a table: x = 0, 1, 2, 3 and y = 10, 27, 44, 61. Which function has the greater rate of change? Write A or B.
  14. Function A is y = 17x + 14. Function B is shown in a table: x = 0, 1, 2, 3 and y = −18, 2, 22, 42. Which function has the greater rate of change? Write A or B.
  15. Function A is y = 7x + 3. Function B is shown in a table: x = 0, 1, 2, 3 and y = −5, 15, 35, 55. Which function has the greater rate of change? Write A or B.
  16. Function A is y = 4x + 10. Function B is shown in a table: x = 0, 1, 2, 3 and y = −15, −14, −13, −12. Which function has the greater rate of change? Write A or B.
  17. Function A is y = 12x + 1. Function B is shown in a table: x = 0, 1, 2, 3 and y = −6, 8, 22, 36. Which function has the greater rate of change? Write A or B.
  18. Function A is y = 26x + 8. Function B is shown in a table: x = 0, 1, 2, 3 and y = −15, −11, −7, −3. Which function has the greater rate of change? Write A or B.
  19. Function A is y = x + 29. Function B is shown in a table: x = 0, 1, 2, 3 and y = −22, 6, 34, 62. Which function has the greater rate of change? Write A or B.
  20. Function A is y = 15x − 23. Function B is shown in a table: x = 0, 1, 2, 3 and y = 15, 23, 31, 39. Which function has the greater rate of change? Write A or B.
More free practice: fieldbooklearning.com/ca/practice/grade-8/compare-the-rates-of-change-of-two-functions/

Answer key: Compare the rates of change of two functions

  1. A
  2. A
  3. B
  4. A
  5. A
  6. B
  7. A
  8. B
  9. B
  10. B
  11. A
  12. B
  13. B
  14. B
  15. B
  16. A
  17. B
  18. A
  19. B
  20. A