Question

@ganeshie8 plz help.

Answer 1

will you help me @ganeshie8

Answer 2

if your not able to ill ask someone else?

Answer 3

you got a question dear?

Answer 4

@satellite73 yes could you help plz?

Answer 5

maybe hope it is not as epic as the last one
took like two hours maybe

Answer 6

2. Holly is studying the growth of a particular species of plant. She writes the following equation to show the height of the plant f(n), in cm, after n days:\[f(n)=10(1.02)^{n}\]

Answer 7

part 1
Starting from 0 days, plug x-values into our function to find out how many days it takes for the plant to grow to 11.04 cm.
Write a compound inequality to show the reasonable domain of the plant growth:

Answer 8

part 2
What is the y-intercept of our function?
What does the y-intercept of the graph of the function f(n) represent?

Answer 9

there is a part 3 but i dont want to bother you much.

Answer 10

So lets start @satellite73

Answer 11

the faster the better!

Answer 12

\[f(n)=10(1.02)^{n}\]

Answer 13

try
\[10(1.02)^2\] and \[10(1.02)^3\] etc until you get \(11.04\)

Answer 14

of course you wont give me the answer, right, you know how I work.

Answer 15

use a calculator should take 30 seconds at most

Answer 16

ok

Answer 17

i got it on the second try

Answer 18

giving u the answer would not make anyone learn

Answer 19

i don't even know it xD

Answer 20

i can't, i just get close to it in the calculator, 11.26.. that stuff

Answer 21

http://www.wolframalpha.com/input/?i=10%281.02%29^5

Answer 22

looks like 5 does it

Answer 23

@Survivor people do that, so thats why i tell them not to.

Answer 24

ohh

Answer 25

yeah, i did, to the 6,7,8 powers, XD

Answer 26

i forgot 5! So since we know what would get 11.04, what am i supposed to do afterwards?

Answer 27

have a beer?

Answer 28

go on to part b?

Answer 29

Write a compound inequality to show the reasonable domain of the plant growth, this part?

Answer 30

oh this again
i guess you can't go back in time so i would say \(x\geq 0\)

Answer 31

have a beer?! what did you try to say?

Answer 32

try to say that we were done with that part, but i guess i didn't see the second part

Answer 33

how long do you want your plant to live? some plants live a long time

Answer 34

i get to put how long?

Answer 35

it asks for the domain right? then number of days

Answer 36

if so for 6 years

Answer 37

so we can just say \(n\geq 0\) and let the plant live forever

Answer 38

or we can say
\[0\leq n \leq 2160\] and let the plant live for 6 years (which has 2160 days)

Answer 39

whoo! a little lower then, 3 years

Answer 40

what difference does it make? let the poor plant live
now what is part b i forget

Answer 41

Write a compound inequality to show the reasonable domain of the plant growth

Answer 42

ok lets let it live 6 years and compute
\[10(1.02)^{2160}\]

Answer 43

so put that in the calculator?

Answer 44

yeah that is too big
lets let the sucker live for only one year

Answer 45

yeah,pllleaase!

Answer 46

\[10(1.02)^{365}\]

Answer 47

so it would equal 13,774.08291966?

Answer 48

http://www.wolframalpha.com/input/?i=10%281.02%29^%28365%29
pretty tall plant

Answer 49

round

Answer 50

to say \(13774\)

Answer 51

so what would be our 'compound inequality'

Answer 52

oh ok, round

Answer 53

\[10\leq y \leq 13774\]

Answer 54

what do we do with that number.

Answer 55

nothing
move on to part b already

Answer 56

ok.

Answer 57

what is b?

Answer 58

just wait

Answer 59

lol i am waiting....

Answer 60

XD ok, so um... where in the world am I supposed to know that o_O

Answer 61

i guess i have to scroll up and find d

Answer 62

What is the y-intercept of our function? What does the y-intercept of the graph of the function f(n) represent?

Answer 63

part 2 What is the y-intercept of our function? What does the y-intercept of the graph of the function f(n) represent?

Answer 64

the y intercept is what you get when \(n=0\) in other words \(10\)

Answer 65

it represents how tall the plant was when you started counting

Answer 66

so it would be 1.02 or 10.2??

Answer 67

it would be neither
\[f(0)=10(1.02)^0=10\times 1=10\]

Answer 68

oh ok, 10, gotcha!

Answer 69

done?

Answer 70

What is the y-intercept of our function? What does the y-intercept of the graph of the function f(n) represent?

Answer 71

the y intercept is 10

Answer 72

it represents how tall the plant was when you started counting

Answer 73

now we need to know what the graph of the function represents.

Answer 74

apparently it represents the growth of the plant

Answer 75

that's what the graph of the function represents then?

Answer 76

this is what it looks like for the first 20 days
http://www.wolframalpha.com/input/?i=10%281.02%29^x+domain+0..20

Answer 77

i was about to report abuse on you by accident. =3

Answer 78

what would it be then,this, how tall the plant was when you started counting it represents the growth of the plant o_O

Answer 79

yikes
the y intercept is how tall when you started counting
the graph represents the growth of the plant plotted vs time

Answer 80

i should say the height of the plant vs time

Answer 81

oh ok, understandable

Answer 82

What is the average rate of change formula for exponential growth functions? last promise!!

Answer 83

average rate of change over what time period?

Answer 84

what do you mean over what time period?

Answer 85

it asks for the average rate of change
the rate of change is it increases by 2% per day, but the average rate depends on what time interval you are talking about
what exactly does the question ask?

Answer 86

What is the average rate of change formula for exponential growth functions? <-THIS EXACTLY

Answer 87

2% per day

Answer 88

So that would be it, 2% per day?

Answer 89

yes because you are multiplying each day by \(1.02\)

Answer 90

so the answer to, What is the average rate of change formula for exponential growth functions? would be 2% per day, just want to make sure

Answer 91

yes

Answer 92

ok

Answer 93

thanks!!

Answer 94

but sorry i forgot there was a part connected to this,Plug and chug n= 1 to n = 5 into your formula above.

Answer 95

yw
now you owe me another picture

Answer 96

oh, let me see, i will look what i have

Answer 97

ok you can do that
use a calculator
put in
\[10\times(1.02)^1\\
10\times (1.02)^2\\
10\times (1.02)^3\\
10\times (1.02)^4\\
10\times (1.02)^5\]