Question

Can someone please help?

Answer 1

B

Explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

Here [ a, b ] = [ 8, 9 ] , then

Continuing the table from x = 6 , multiplying values of y by 3

x y

6 729

7 2187

8 6561

9 19683

f(b) = f(9) = 19683

f(a) = f(8) = 6561

average rate of change =
`(19683-6561)/(9-8)` =
`(13122)/(1)` = 13122 → B

Answer 2

1.

C. 6561 is the answer that the table represents