A linear graph of parking fees and dollars based on our 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?

Question

A) the parking fee rises by $8 with each additional hour
B) the parking fee rises by $6 with each additional hour
C) The parking fee rises by $10 with each additional hour
D) The parking fee rises by $7.33 with each additional hour

Answer 1

To find the rate of change, we need to calculate the slope of the line passing through the points (2, 20) and (6, 44).

Slope = (change in y) / (change in x)
Slope = (44 - 20) / (6 - 2)
Slope = 24 / 4
Slope = 6

Therefore, the slope of the graph represents the rate of change in the parking fee for each additional hour of parking. In this case, the parking fee rises by $6 with each additional hour.

So, the correct interpretation would be:

B) The parking fee rises by $6 with each additional hour