Question

Plz help me

The table shows the change in the annual sales turnover of a company in millions of dollars, S(x), where x represents the years since the company was founded.

x S(x)
1 $495
3 $598.95
5 $724.73
7 $876.92
9 $1,061.08

What is the predicted average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11]?

A.
$184.15 per year
B.
$111.42 per year
C.
$222.83 per year
D.
$92.08 per year

Answer 1

its going to be d

Explanation:

Answer 2

The correct option is B.

Explanation:

The general exponential regression model is

`y=ab^x`

Using regression tool the exponential regression model for the given data is

`S(x)=449.9999(1.09999)^x`

`S(x)=450(1.1)^x`

The value of function at x=9 is

`S(9)=450(1.1)^9=1061.07646`

The value of function at x=11 is

`S(11)=450(1.1)^(11)=1283.90252`

The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is

`m=(S(11)-S(9))/(11-9)`

`m=(1283.90252-1061.07646-)/(2)=111.413\approx 11.42`

The average rate of change of the company's sales turnover, in millions of dollars, over the interval [9, 11] is 11.42. Therefore the correct option is B.