Answer: The required rate of change is -8.
Step-by-step explanation: Given that the graph shows the side view of a water slide with dimensions in feet.
We are to find the rate of change between the points (0, ?) and (?, 40).
From the graph, we note that
the y co-ordinate for the x co-ordinate 0 is 80 and the x co-ordinate for the y co-ordinate 40 is 5.
So, the given two points are (0, 80) and (5, 40).
The rate of change for a function f(x) between the points (a, b) and (c, d) is given by
[tex]R_c=\dfrac{d-b}{c-a}.[/tex]
Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is
[tex]R_c=\dfrac{40-80}{5-0}=\dfrac{-40}{5}=-8.[/tex]
Thus, the required rate of change is -8.
