Find the average rate of change from x = 10 to x =17 for the function f(x) = 0.01(2) ^x and select the correct answer below

Question

A. 10.24
B. 185.78
C. 1300.48
D. 1310.72

Is it A?

Answer 1

Nope.

You want

f(17)-f(10)
---------------
17-10

Answer 2

that would be 7. What do I do now?

Thank you so much by the way

Answer 3

@steve

Answer 4

Wait, so its 1300.48?

Answer 5

No, it's B!

Why not show your work, so we can see what's going on?

How did you evaluate .01 * 2^17?

Answer 6

What i did to get c is f(10) = 0.01 (2) ^10 which was 10.24 then f(17) = 0.01 (2) ^17 which equals 1310.72 then subtracted and got 1300.48

Answer 7

f ( 17 ) = 0.01 ( 2 ) ^ x =

0.01 ( 2 ) ^ 17 =

0.01 * 131072 =

1310.72

f ( 10 ) = 0.01 ( 2 ) ^ x =

0.01 ( 2 ) ^ 10 =

0.01 * 1024 =

10.24

The average rate of change :

[ f ( 17 ) - f ( 10 ) ] / ( 17 - 10 ) =

[ f ( 17 ) - f ( 10 ) ] / 7 =

( 1310.72 - 10.24 ) / 7 =

1300.48 / 7 =

185.78286

Approx. = 185.78

Answer B

Answer 8

But now I see it says average change, so you would then divide 1300.48 by 7 which gets 185.78. Right? @steve

Answer 9

okay thank you