Question

i need help plss. im not sure how to find the average rate.


For f(x) = 0.01(2)x, find the average rate of change from x = 2 to x = 10.
1.275
8
10.2
10.24

Answer 1

the function is this?

\[\LARGE f(x) = 0.01(2)^x\]

Answer 2

yes

Answer 3

are you able to find the value of f(2) and f(10) ?

Answer 4

let me know what you get for those values or let me know if you aren't sure how to find the function values

Answer 5

im not even sure how to find the function values.. i get all mixed up when it comes to trying to find the answers to these type of questions.

Answer 6

what you do is replace every x value with the input in question

so say you wanted to find f(2)

replace every x with 2

\[\LARGE f(\color{red}{x}) = 0.01(2)^\color{red}{x}\]

\[\LARGE f(\color{red}{2}) = 0.01(2)^\color{red}{2}\]

\[\LARGE f(2) = ???\]

Answer 7

at this point, you use a calculator to compute `0.01*(2)^2`

you can use this calculator if you don't have one

http://web2.0calc.com/

Answer 8

i got 0.04 @jim_thompson5910

Answer 9

me too

Answer 10

so f(2) = 0.04

Answer 11

what is the value of f(10) ?

Answer 12

100,000,000 ? ._.

Answer 13

way too big

Answer 14

did you type in `0.01*(2)^10` ?

Answer 15

yes

Answer 16

which calculator are you using?

Answer 17

i got 10.24 this time.. i made a mistake

Answer 18

that's ok

Answer 19

now you compute

\[\large \frac{f(b)-f(a)}{b-a} = \frac{f(10)-f(2)}{10-2} = \frac{10.24 - 0.04}{10-2} = ??\]

Answer 20

it equals 1.275

Answer 21

yep, that's your avg rate of change

Answer 22

thank you so much for your help! :)

Answer 23

you're welcome