The average rate of change of the function f(x) in the first three seconds is -50
Explanation:
x = time in seconds
Average rate of change = slope
for the 1st three seconds, when x = 3, f(x) = 0
we need to pick two points on the graph to determine the slope.
Using point (x, f(x)): (3, 0) and (0, 150)
The line crosses the f(x) between 160 and 140. This middle point is assumed to be 150
The line is moving downwards, hence it is a graph with a negative slope.
It will be the smaller f(x) axis - bigger f(x) axis
slope = change in f(x)/change in x
slope = (0 - 150)/(3-0)
slope = -150/3
slope = -50
The average rate of change of the function f(x) in the first three seconds is -50
