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 $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. 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.

Question

GPT-4o mini · Answer

To find the slope of the linear graph representing the parking fees, we can use the slope formula:

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

Using the points (2, 20) and (6, 44), we designate:

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

Now, substituting the values into the formula:

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

The slope of the graph is 6, which means:

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

Thus, the correct interpretation of the slope is: The parking fee rises by $6 with each additional hour.