Part 1
The variable y has a proportional relationship with x as suggested by the graph. Use the graph to find the constant of proportionality.
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1
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7
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0
7
14
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35
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49
56
63
70
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y
A horizontal x-axis is labeled from 0 to 10. A vertical y-axis is labeled from 0 to 70. A line rises from left to right and passes through the origin, (0, 0), and (1, 7).
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Question content area right
Part 1
The constant of proportionality is
enter your response here.
(Simplify your answer.)
1 answer
In a proportional relationship, the constant of proportionality (k) can be found using the formula:
\[ k = \frac{y}{x} \]
From the graph, we can see that the line passes through the points (0, 0) and (1, 7). Let's use the point (1, 7) to find the constant of proportionality:
\[ k = \frac{y}{x} = \frac{7}{1} = 7 \]
Thus, the constant of proportionality is \( 7 \).
