Question

This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer as a decimal in the box.

6, 82,80 2, 27,60

Answer 1

To determine the constant of proportionality from the given points (6, 82.80) and (2, 27.60), we can use the formula for the constant of proportionality, which is calculated as:

\[
k = \frac{y}{x}
\]

where \(y\) is the output value and \(x\) is the input value.

Let's calculate the constant of proportionality for both points:

1. For the point (6, 82.80):
\[
k_1 = \frac{82.80}{6} = 13.80
\]

2. For the point (2, 27.60):
\[
k_2 = \frac{27.60}{2} = 13.80
\]

Since both calculations provide the same constant of proportionality, we find that the constant of proportionality is:

\[
\boxed{13.80}
\]