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)
© 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 $10 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 determine this, we can use the slope formula:
slope = (change in y) / (change in x)
Given the two points (2, 20) and (6, 44), the change in y (change in parking fee) is 44 - 20 = 24, and the change in x (change in hours) is 6 - 2 = 4.
Thus, the slope is 24 / 4 = 6.
This means that for each additional hour of parking, the parking fee increases by $6.