Question

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.

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

Answer 1

@jim_thompson5910 ???

Answer 2

if x = 10, then f(x) = ???

Answer 3

17?

Answer 4

replace x with 10 and evaluate the function

Answer 5

f(x) = 0.01(2)^x

f(10) = 0.01(2)^10

f(10) = ???

Answer 6

10.24?

Answer 7

Just a guess, but A 10.24

Answer 8

10.24 isn't the answer, but it helps get us there

Answer 9

I am not really sure though

Answer 10

:(

Answer 11

if x = 17, then f(x) = ???

Answer 12

This might help: https://mathway.com/examples/Algebra/Functions/Finding-the-Average-Rate-of-Change?id=769

Answer 13

0.01(2)

Answer 14

? @jim_thompson5910 ?

Answer 15

f(x) = 0.01(2)^x

f(17) = 0.01(2)^17

f(17) = ???

Answer 16

sorry, I don't know

Answer 17

13?

Answer 18

what is 0.01(2)^17 equal to

Answer 19

WAIT its the answer D?

Answer 20

nope, it helps us get there though

Answer 21

f(10) = 10.24
f(17) = 1310.72

Answer 22

now evaluate

\[\Large \frac{f(17)-f(10)}{17-10}\]

Answer 23

-17 f(10) +f(17) -10?

Answer 24

its right?

Answer 25

\[\Large \frac{f(17)-f(10)}{17-10} = \frac{1310.72-10.24}{17-10} = ???\]

Answer 26

1300

Answer 27

?

Answer 28

1300.1*

Answer 29

what is 1310.72-10.24 equal to?

what is 17-10 equal to?

divide those two results

Answer 30

what is 1310.72-10.24 equal to 1300.48
what is 17-10 equal to 7

Answer 31

im right?

Answer 32

@jim_thompson5910

Answer 33

now divide 1300.48/7

Answer 34

185.7?

Answer 35

185.78

Answer 36

185.78

Answer 37

yea sorry

Answer 38

yeah

Answer 39

its ok

Answer 40

soits b?

Answer 41

yes

Answer 42

thank you, can you check something if make sure if im right?

Answer 43

Identify the type of sequence shown in the table below and select the appropriate response.


n f(n)
1 12
2 −36
3 108
4 −324
5 972

Answer 44

A)Arithmetic sequence; common difference is −48
B)Arithmetic sequence; common difference is 144
C)Geometric sequence; common ratio is −3
D)Geometric sequence; common ratio is 3

Answer 45

I THINK ITS C, but im not sure

Answer 46

im right?

Answer 47

why C?

Answer 48

i dont know somebody give the answer

Answer 49

@jim_thompson5910 ???

Answer 50

are u there? @jim_thompson5910 ??/

Answer 51

have a look at this article

https://purplemath.com/modules/series3.htm