Direct Variation Worksheet

Direct Variation

Read each question carefully and provide clear, concise answers. Show all your work for full credit.

1. Which of the following equations represents a direct variation?

2. If y varies directly as x, and y = 12 when x = 3, what is the constant of variation?

3. The equation for direct variation is y = kx, where k is the  .

4. In a direct variation, as one variable increases, the other variable also  .

5. The cost (C) of apples varies directly with their weight (w) in kilograms. If 3 kg of apples cost $7.50, write an equation that relates C and w.

6. If y varies directly as x, and y = 20 when x = 4, find y when x = 7.

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

8. In a direct variation, the ratio y/x is constant.

9. Plot the graph of the direct variation y = 2x on the coordinate plane below.