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

Answer 1

To find the slope of the linear graph representing parking fees based on the hours parked, we can use the two given points: (2, 20) and (6, 44). The slope (m) is calculated using the formula:

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

Where:

• \((x_1, y_1)\) is the first point (2, 20)
• \((x_2, y_2)\) is the second point (6, 44)

Calculating the slope:

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

Thus, the slope is 6.

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

So the correct interpretation is:

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