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

Answer 1

To find the slope of the linear graph represented by the two points (2, 20) and (6, 44), we use the formula for the slope \( m \):

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

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

Substituting in the values:

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

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

Thus, the correct interpretation is:

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