Alg 2 Sect. 2.2 Date: 8/29/ 24 2.2 Direct Variation 1. Write a rule for the direct variation in the table. 2. Identify the constant of variation. a. y = = x b . 4y - 5x = 0 For each function, determine whether the y varies directly with x. If so, find the constant of variation and write the function rule. 3. 3 . yes 27 35 yes 4. 4 ._ Y. 30 10 20 5. 5. NO 22 16 32 7 47 6. NO 6. 10 11Alg 2 Sect. 2.2 Determine whether the y varies directly with x. If so, find the constant of variation. 7. y = 12x 8. y = 6x 9. y = -2x tes 10. y = 4x + 1 11. y = 4x - 3 No 12. y = -5x yes 13. y - 6x -tox + - = 0+6x 14. y + 3 = -3x y = - 3 x - 7 For problems 15-20, y varies directly with x. 15. If y = 4 when x = -2, find x when y = 6. 16. If y = 6 when x = 2, find x when y = 12. 17. If y = 7 when x = 2, find x when y = 3. 18. If y = 5 when x = -3, find x when y = -1. 19. If y = -7 when x = -3, find y when x = 9. K - 1 = 3 2 = =3 ( 4 ) = 12 : 3 20. If y = 25 when x = 15, find y when x = 6. K=Z - 1 3 X = = ( 6 ) = 1 2 = 101 Determine whether y varies directly with x. IF so, find the constant of variation and write the function rule. 21. NO -8 UI W 14 22. b 12 15Alg 2 Sect. 2.2 Write and graph a direct variation equation that passes through each point. 23. (1,2) 23 24. (-3, -7) 24. 25 . (2 , - 9 ) 25. 26. (-0.1,50) (no graph) For exercises 27-28 , y varies directly with x. 27. If y = = when x = 4, find y when x = 5. 28 . If y = > when x = =, find y when x = 3