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

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

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

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

Answer 1

To determine the slope of the linear graph, we can use the formula for the slope (m) between two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Given the points \((2, 20)\) and \((6, 44)\):

- \((x_1, y_1) = (2, 20)\)
- \((x_2, y_2) = (6, 44)\)

Now, plug the values into the slope formula:

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

Thus, the slope is 6, meaning the parking fee rises by $6 for each additional hour of parking.

The correct interpretation of the slope is:

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