University:
Central Michigan University
Course:
MTH 107 | College Algebra
Academic year:

2024
Views:

147

Pages:

2
Author:

Alex Crawford

Name_________________________________________Date_________Score________ Direct Variation Worksheet #2 1. Which equation is not an example of a direct variation? A. y  7 x 1 3 B. y  5 x 16 C. y = 4x D. y = -9x Name the constant of variations (k) for each equation. 2. y = 5x 3. y = 1 x 2 4. y = 2 x 3 Write a direct variation equation that relates the two variables, then solve. 5. Suppose y varies directly as x, and y = 16 when x = 8. Find y when x = 16. 6. Suppose y varies directly as x, and y = 21 when x = 3. Find y when x = 42. 7. Suppose y varies directly as x, and y = 36 when x = 4. Find y when x = 11. 8. Suppose y varies directly as x, and y = 8 when x = 2. Find y when x = 21. Determine if each graph represents direct variation. If so, write its equation. 9. 10. For the data in each table, tell whether y varies directly with x. If it does, write an equation for the direct variation. 11. 12. Time (h) 13. Dist. (mi) x y 0 0 1 4 1 55 2 8 2 110 3 12 3 165 4 16 4 220 x y 1 13 2 22 3 31 4 40 14. Your distance from lightning varies directly with the time it takes you to hear thunder. If you hear thunder 10 seconds after you see the lightning, you are about 2 miles from the lightning. a. Write a direct variation equation for the relationship between time and distance. b. Estimate how many seconds it would take for the thunder to travel a distance of 4 miles. 15. A recipe for 2 dozen corn muffins calls for 3 cup of flour. The number of muffins varies directly with the amount of flour you use. a. Write a direct variation equation for the relationship between the number of cups of flour and the number of muffins. b. Estimate how many cups of flour are needed to make 6 dozen muffins.

Math Direct Variation Worksheet

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