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 $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 $7.33 with each additional hour.
The parking fee rises by $6 with each additional hour.
The correct interpretation is: The parking fee rises by $6 with each additional hour.
To interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking, you need to determine the change in the fee for each unit change in the number of hours parked.
First, let's find the slope of the line passing through the given points (2, 20) and (6, 44).
The slope of a line can be calculated using the formula:
slope = (change in y-coordinates) / (change in x-coordinates)
In this case, the change in x-coordinates is 6 - 2 = 4, and the change in y-coordinates is 44 - 20 = 24.
slope = 24 / 4 = 6
The slope of the graph is 6.
Therefore, the interpretation of the slope is that the parking fee rises by $6 with each additional hour of parking.