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?
The slope of the linear graph represents the rate of change in the parking fee for each additional hour of parking. In this case, we can calculate the slope using the formula:
Slope = (change in y-coordinate) / (change in x-coordinate)
Using the given points, we have:
(change in y-coordinate) = 44 - 20 = 24
(change in x-coordinate) = 6 - 2 = 4
Therefore, the slope of the graph is:
Slope = 24 / 4 = 6
This means that for each additional hour of parking, the parking fee increases by $6.