Question

A linear graph of parking fees in dollars based on hours parked has the points (2,20)
and (6,44)
. How would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking?(1 point)
Responses

The parking fee rises by $8 with each additional hour.

The parking fee rises by $10 with each additional hour.

The parking fee rises by $6 with each additional hour.

The parking fee rises by $7.33 with each additional hour.

Answer 1

To find the slope of the linear graph that represents the parking fees, we can use the two points given: (2, 20) and (6, 44).

The formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Plugging in the coordinates of the points:

\[
x_1 = 2, y_1 = 20
\]
\[
x_2 = 6, y_2 = 44
\]

The slope can be calculated as follows:

\[
m = \frac{44 - 20}{6 - 2} = \frac{24}{4} = 6
\]

This means that the slope of the graph is 6.

Thus, the interpretation of the slope is:
The parking fee rises by $6 with each additional hour.

So, the correct response is:

**The parking fee rises by $6 with each additional hour.**