Direct Variation Worksheet
Explore direct variation relationships, identify constants of proportionality, and solve problems involving direct variation equations for 8th grade math.
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Direct Variation
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which equation represents a direct variation?
y = 3x + 2
y = x - 5
y = 4x
y = x/2 + 1
2. If y varies directly with x, and y = 10 when x = 2, what is the constant of proportionality?
2
5
10
20
3. In a direct variation, the ratio y/x is always .
4. The graph of a direct variation is a straight line that passes through the .
5. The cost (C) of apples varies directly with their weight (w). If 3 pounds of apples cost $4.50, write an equation that represents this relationship. Then, find the cost of 5 pounds of apples.
6. The equation y = x + 7 represents a direct variation.
True
False
7. Plot the points from the table below and determine if the relationship represents a direct variation. If it does, state the constant of proportionality.
x | y --|-- 1 | 3 2 | 6 3 | 9