ame Class Date Practice 5-5 Direct Is each equation a direct variation? If it is, find Variation the constant of variation. 1. 4. + y = 5x y = 2x 5 2. + 3. = 8 2y = 0 y 3 x - 6. = 5. 7 8. + y – 3x - y = 5x 2y = 10. 4 6x - 3y = 7. + 0 9 – 3x 2y 0 = 0 9. + 12. 8x + 4y = 9x 5y = 11. x - 3y = 12 0 6 The ordered pairs in each exercise are for the same direct variation. Find each missing value. 13. 14. 16. 15. (3,2) and (–2,8) and (4, y) and (x, 8) and –16) (6, y) (x, 12) (16,12) (6, 17. 18. 20. 19. (3, y) and (2, y) and (3, y) and (– 4,3) and (9,15) (10, 15) (1.5, 6) (x, 6) For the data in each table, tell whether y varies directly with x. If it does, write an equation for 21. 22. 24. 23. (2.5, 5) (9,3) and (x, (4.85, 5) 27. 25. 26. 28. and (x, 9) -2) and (2.4, y) the direct variation. 29. Charles’s Law states that at constant pressure, the volume of a fixed amount of gas varies directly with its temperature measured in degrees Kelvin. A gas has a volume of 250 mL at 300° K. a. Write an equation for the relationship between volume and temperature. b. What is the volume if the temperature increases to 420° K? 30. Your percent grade varies directly with the number of correct answers. You got a grade of 80 when you had 20 correct answers. a. Write an equation for the relationship between percent grade and number of correct answers.
ame Class Date Practice 5-5 Is each equation a direct variation? If it is, find the constant of variation. 1. y = 5x 5. 3x - y = 0 9. 8x + 4y = 12 2. 8 + 2y = 0 6. y = 10. 6x - 3y = 0 3. y = 3 x - 7 4 7. – 3x + 2y = 0 11. x - 3y = 6 4. y = 2x + 5 8. – 5x + 2y = 9 12. 9x + 5y = 0 Direct Variation The ordered pairs in each exercise are for the same direct variation. Find each missing value. 13. (3,2) and (6, y) 17. (3, y) and (9,15) 21. 14. (–2,8) and (x, 12) 18. (2, y) and (10, 15) 22. (2.5, 5) and (x, 9) 15. (4, y) and (16,12) 19. (– 4,3) and (x, 6) 23. (4.85, 5) and (2.4, y) 16. (x, 8) and (6, –16) 20. (3, y) and (1.5, 6) 24. (9,3) and (x, -2) 27. 25. 26. 28. For the data in each table, tell whether y varies directly with x. If it does, write an equation for the direct variation. 29. Charles’s Law states that at constant pressure, the volume of a fixed amount of gas varies directly with its temperature measured in degrees Kelvin. A gas has a volume of 250 mL at 300° K. a. Write an equation for the relationship between volume and temperature. b. What is the volume if the temperature increases to 420° K? 30. Your percent grade varies directly with the number of correct answers. You got a grade of 80 when you had 20 correct answers. a. Write an equation for the relationship between percent grade and number of correct answers.
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