Name Class Date Practice 5-6 Inverse Variation Suppose y varies inversely with x. Write an equation for the inverse variation. 1. 2. 3. x = 9 when y = 6 x = 3.6 when y = 5 x =when y = 4. 5. 6. x =7 when y = 13 x = 8 when y = 9 x = 4.9 when y = 0.8 7. 8. 9. x = 11 when y = 44 y = 8 when x = 9.5 = 12 when x = Each pair of points is on the graph of an inverse variation. Find the missing value. 10. 11. 12. (5, 8) and (4, m) (16, 5) and (10, h) (14, 8) and (c, 7) 13. 14. 15. (3, 18) and (a, 27) (4, 28) and (3, p) (100, 25) and (4, a) 16. 17. 18. (x, 7) and (2, 14) and (16, 3) and (g, 24) 19. 20. (2.4, 19.8) and (h, 13.2) (12.4, 6.6) and (f, (3.2, k) and (9.2, 0.8) 22. 23. 24. (18, 24) and (72, v) (17, 0.9) and (5.1, x) and Explain whether each situation represents a direct variation or an inverse variation. The cost of a $50 birthday gift is split among some friends. You purchase some peaches at $1.29/lb. Do the data in each table represent a direct variation, or an inverse variation? Write an equation to model the data in each table. 27. x 28. x 29. x 2 7 10 3 6 24 5 6 8 y y y 35 10 7 16 8 2 55 66 88 x x 32 x 30. 31. 2 8 16 2 3 9 2 6 10 y y y 72 12 4 4.2 21 9 36 18 12.6 33. x 34. x 35. x 2 12 1.2 2.4 5 1.5 6 9 36 y y y 32 4 2 12.8 76.8 5 2.5 3 0.5
Name Class Date Practice 5-6 Inverse Variation Suppose y varies inversely with x. Write an equation for the inverse variation. 1. x = 9 when y = 6 2. x = 3.6 when y = 5 3. x =when y = 4. x =7 when y = 13 5. x = 8 when y = 9 6. x = 4.9 when y = 0.8 7. x = 11 when y = 44 8. y = 8 when x = 9.5 9. = 12 when x = Each pair of points is on the graph of an inverse variation. Find the missing value. 10. (5, 8) and (4, m) 11. (16, 5) and (10, h) 12. (14, 8) and (c, 7) 13. (3, 18) and (a, 27) 14. (4, 28) and (3, p) 15. (100, 25) and (4, a) 16. (x, 7) and (2, 14) 17. and 18. (16, 3) and (g, 24) 19. (2.4, 19.8) and (h, 13.2) 20. (12.4, 6.6) and (f, (3.2, k) and (9.2, 0.8) 22. (18, 24) and (72, v) 23. (17, 0.9) and (5.1, x) 24. and Explain whether each situation represents a direct variation or an inverse variation. The cost of a $50 birthday gift is split among some friends. You purchase some peaches at $1.29/lb. Do the data in each table represent a direct variation, or an inverse variation? Write an equation to model the data in each table. 27. x 2 x 24 x 7 10 28. 3 6 29. 5 6 8 y y 2 y 35 10 7 16 8 55 66 88 x 2 x 2 32 x 2 30. 8 16 31. 3 9 6 10 y 72 y 12 4 y 4.2 21 9 36 18 12.6 x 2 12 34. x 1.2 2.4 x 33. 5 1.5 35. 6 9 36 y 32 y 4 y 2 12.8 76.8 5 2.5 3 0.5
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