Question

Question

A linear graph of parking fees in dollars based on hours parked has the points (2,20)
(
2
,
20
)
and (6,44)
(
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 $8 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 $7.33 with each additional hour.
The parking fee rises by $7.33 with each additional hour.

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

Answer 1

To find the slope of the graph, which represents the rate of change in the parking fee per hour, we can use the two given points: (2, 20) and (6, 44).

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

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

Substituting the values from the points (2, 20) and (6, 44):

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

Thus, the slope is 6. This means that 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.