Question

The graph below plots a function f(x):

Answer 1

Answer:

If x represents time, the average rate of change of the function f(x) in the first three seconds is  40.

Step-by-step explanation:

We know that the average rate of change which is also know as a slope of a function from x=a to x=b is calculated by the formula:

                    $Rate\ of\ change=\dfrac{f(b)-f(a)}{b-a}$

Here we are asked to find the average rate of change between x=0 to x=3 ( i.e. in the first three seconds)

It is calculated as follows:

$Rate\ of\ change=\dfrac{f(3)-f(0)}{3-0}\\\\\\Rate\ of\ change=\dfrac{220-100}{3}\\\\\\Rate\ of\ change=\dfrac{120}{3}\\\\\\Rate\ of\ change=40$

Answer 2

I think the slope would be 3/2. I'm not entirely sure