Question

The graph below represents a population

Answer 1

Answer:

Average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.

Step-by-step explanation:

We need to find the average rate of  change for the function for the interval

(6, 12]

The formula used to calculate Average rate of change is:

$Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}$

We are given a=6 and b=12

Looking at the graph we can see that when x=6 y= 3000 so, f(a)=3000

and when x=12, y=6000 so, f(b)=6000

Putting values in formula and finding Average rate of change:

$Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{6000-3000}{12-6}\\Average \ rate \ of \ change=\frac{3000}{6}\\Average \ rate \ of \ change=500$

So, average rate of  change for the function for the interval (6, 12] is 500 people per year.

Option A is correct.