Direct and Inverse Variation Worksheet

Direct and Inverse Variation

Read each question carefully and provide the best answer. Show all your work for full credit.

1. Which equation represents direct variation?

2. If y varies inversely as x, and y = 10 when x = 2, what is the constant of variation?

3. In a direct variation, as one quantity increases, the other quantity  .

4. The equation for inverse variation is  , where k is the constant of variation.

5. The cost (C) of apples varies directly with the number of pounds (P) purchased. If 3 pounds of apples cost $4.50, write an equation that relates C and P.

6. The time (T) it takes to complete a task varies inversely with the number of workers (W). If 5 workers can complete a task in 8 hours, how long will it take 10 workers to complete the same task?

7. The graph of a direct variation always passes through the origin (0,0).

8. In an inverse variation, as x increases, y also increases.

9. Plot the points given by the direct variation y = 2x on the coordinate plane below.

10. Plot the points given by the inverse variation y = 12/x on the coordinate plane below. Consider positive integer values for x.