Constant of Proportionality Worksheet
A Grade 8 math worksheet focusing on understanding and calculating the constant of proportionality from tables, graphs, and equations.
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Constant of Proportionality
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Read each question carefully and answer to the best of your ability. Show all your work when necessary.
1. Define the term 'constant of proportionality' in your own words.
For each table, determine if the relationship is proportional. If it is, find the constant of proportionality (k).
2. Table A:
x
y
2
6
4
12
6
18
Is it proportional?
Constant of proportionality (k):
3. Table B:
x
y
1
5
3
10
5
15
Is it proportional?
Constant of proportionality (k):
4. Which of the following graphs represents a proportional relationship?
Graph 1 (left)
Graph 2 (right)
5. The graph below shows the distance a car travels over time. What is the constant of proportionality (speed) for this car?
6. For the equation y = 7x, the constant of proportionality is .
7. Write an equation that represents a proportional relationship with a constant of proportionality of 3.5. .
8. A proportional relationship always passes through the origin (0,0) when graphed.
True
False