Question

The graph shows the side view of a water slide dimensions are in feet

Answer 1

(0,80) (5,40)

Answer 2

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

`R_c=(d-b)/(c-a).`

Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is

`R_c=(40-80)/(5-0)=(-40)/(5)=-8.`

Thus, the required rate of change is -8.