Direct and Inverse Variation Worksheet
Explore direct and inverse variation relationships with this Grade 11 math worksheet, featuring problems on identifying, writing equations, and solving real-world applications.
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Direct and Inverse Variation
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. Which equation represents direct variation?
y = k/x
y = kx
y = x + k
y = x - k
2. If y varies inversely as x, and y = 10 when x = 2, what is the constant of variation?
5
12
20
8
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).
True
False
8. In an inverse variation, as x increases, y also increases.
True
False
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.