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

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.

Answer 1

To determine the slope of the linear graph representing the parking fees based on the hours parked, we need to calculate the slope using the two given points: (2, 20) and (6, 44).

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

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

Substituting the given points into the formula:

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

Now, we calculate the slope:

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

So, the slope of the graph is 6, which means the parking fee rises by $6 for each additional hour of parking.

Therefore, the correct response is:

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