Question

The graph below plots a function f(x):

graph of line segment going through ordered pairs 0, 50 and 2,100 and extend beyond 2,100

If x represents time, the average rate of change of the function f(x) in the first two seconds is _______.

Answer 1

By definition we have that the average rate of change of the function is given by:

`AVR = (f(x2) - f(x1))/(x2 - x1)`
Substituting values we have:

`AVR = (100 - 50)/(2 - 0)`
Rewriting we have:

`AVR = (50)/(2)`

`AVR = 25`
Answer:
If x represents time, the average rate of change of the function f(x) in the first two seconds is 25.