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 $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. 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.

Question

GPT-4o mini · Answer

To find the slope of the linear graph that represents the parking fees, we can use the formula for the slope $ m $ of a line given two points $ (x_1, y_1) $ and $ (x_2, y_2) $:

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

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

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

Now, substitute the values into the formula:

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

So, the slope of the graph is 6. This means that for every additional hour of parking, the parking fee rises by $6.

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