A linear graph of parking fees in dollars based on hours parked has the points (2,20) and (6,44) how I would you interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking
To interpret the slope of the graph as the rate of change in the parking fee for each additional hour of parking, you can consider the formula for finding the slope of a linear equation, which is given by:
slope = (change in y)/(change in x)
In this case, the change in y refers to the change in the parking fee and the change in x refers to the change in hours parked. Therefore, the slope of the graph represents the rate at which the parking fee increases for each additional hour of parking.
Given the points (2,20) and (6,44), we can determine the change in y and change in x:
Change in y = 44 - 20 = 24 (increase in the parking fee)
Change in x = 6 - 2 = 4 (increase in hours parked)
Now, we can calculate the slope:
slope = (change in y)/(change in x) = 24/4 = 6
Therefore, the slope of the graph is 6, which means that for each additional hour of parking, the parking fee increases by $6.