Question

Consider the graph.

Determine the constant of proportionality (y/x).

1, 0.75

4,3

8,6



(1 point)
The constant of proportionality for this graph is
.
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Answer 1

To find the constant of proportionality \( k \) for the given pairs \((x, y)\), we can use the formula \( k = \frac{y}{x} \) for each pair of values.

1. For the first pair \((1, 0.75)\):
\[
k_1 = \frac{0.75}{1} = 0.75
\]

2. For the second pair \((4, 3)\):
\[
k_2 = \frac{3}{4} = 0.75
\]

3. For the third pair \((8, 6)\):
\[
k_3 = \frac{6}{8} = 0.75
\]

Since all pairs give a constant of proportionality of \( 0.75 \), we conclude that:

The constant of proportionality for this graph is **0.75**.