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Name: ______________________________________________________ Date: _______________________ Period: _________ Algebra 2 Section 2-2 & 8-1 Practice Direct and Inverse Variation Write the equation for a Direct Variation: ______________________________________________ Write the equation for an Inverse Variation: ____________________________________________ For each function, determine whether y varies directly with x. If so, find the constant of variation and write the function rule. To start, write ratios of output to input. 1. x y 3 2. x y –9 2 4 –12 5 –15 3. x y 6 –4 –8 5 10 1 2 10 30 3 6 Determine whether y varies directly with x. If so, find the constant of the variation. 4. y = 5x 5. 3y = 4x + 6 6. y 7 x For Exercises 7–10, y varies directly with x. 7. If y = −2 when x = 1, find x when y = 4. 8. If y = 4 when x = 5, find y when x = 10. 9. If y = 12 when x = 36, find x when y = 7. 10. If y = 121 when x = 11, find y when x = 5. Is the relationship between the values in each table a direct variation, an inverse variation, or neither? Write an equation to model the direct and inverse variations. 11. 12. x 0.1 3 3 0.1 6 0.05 24 13. y 0.0125 x y 1 2 5 6 3 6 15 18 x y 0 2 4 6 1 5 7 8 Suppose that x and y vary inversely. Write a function that models each inverse variation. Graph the function and find y when x = 10. 14. x = 2 when y = − 4 15. x = − 9 when y = − 1 16. x = 1.5 when y = 10 Each ordered pair is from an inverse variation. Find the constant of variation. 17. (2, 2) 18. (1, 8) 19. (9, 4)