Question

Can someone please help?

Answer 1

Answer:

1.

C. 6561 is the answer that the table represents

Answer 2

Answer:

B

Step-by-step explanation:

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

$\frac{f(b)-f(a)}{b-a}$

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 = $\frac{19683-6561}{9-8}$ = $\frac{13122}{1}$ = 13122 → B