Question

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below.

0.08
12
27.3
327.68

Answer 1

use the formula

rate of change = [f(15)-f(3)]/(15-3)

Answer 2

I dont know D:

Answer 3

15-3=12? but i dont think that has anything to do with it..?

Answer 4

average will use the endpoints of the interval

Answer 5

first step is to find f(15)

if f(x) = 0.01(2)^x, what is f(15)?

Answer 6

327.68?

Answer 7

average rate of change or average value of the slope , over that whole interval

Answer 8

I dont know what that means??

Answer 9

good, now find f(3) using the same method

Answer 10

0.08

Answer 11

you just finding the rise over the run , or the slope of a line connecting the endpoints of the given interval for x

Answer 12

the rate of change @DanJS

Answer 13

good.

now we have

f(15) = 327.68
f(3) = 0.08

now plug everything into the formula

[f(15)-f(3)]/(15-3)

and you'll have your answer

Answer 14

not instantaneous at a single value, the average over that interval

Answer 15

I dont see the answer in my choices

Answer 16

the rate of change for a value is the derivative value there, slope of a tangent to the graph at that point

Answer 17

0.08
12
27.3
327.68

These are the choices

Answer 18

average is a secant line connecting the end points on the interval..

Answer 19

f(15) = 327.68
f(3) = 0.08

what is f(15) - f(3)?

Answer 20

327.60

Answer 21

good, now divide that by (15-3)

Answer 22

C 27.3

Answer 23

great ~

Answer 24

THANK YOU