A linear graph of parking fees in dollars based on hours parked has the points (2,20)

Question

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

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

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

Answer 1

To find the slope of the linear graph, which represents the rate of change in parking fees for each additional hour parked, we can use the two given points: (2, 20) and (6, 44).

The slope \( m \) is calculated using the formula:

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

Here, \( (x_1, y_1) = (2, 20) \) and \( (x_2, y_2) = (6, 44) \).

Now, substituting the values:

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

Thus, the slope is 6.

This means the parking fee rises by $6 with each additional hour.

Therefore, the correct response is:

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