Question

Help!!!!!! Iris has been studying an invasive population of snails. This particular snail has no local predators so the population grows wildly. She has observed that the population follows an exponential rate of growth for fifteen years.
1. Create your own exponential function, f(x), which models the snail population. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences.

Answer 1

@owl

Answer 2

@Owlcoffee

Answer 3

@iPwnBunnies

Answer 4

@phi

Answer 5

@ayoubEpst

Answer 6

@lucyv7129

Answer 7

@Official_Hotboy

Answer 8

Here is some ideas to think about for this problem.
First consider that the formula f(x) = P (1 + r) ^x.
is the formula used for compound interest.
in a bank if you invest $1 and the APR (annual percent rate) is 5% will you will end up with
$1,05 at the end of the year ? ... YES, NO, MAYBE ???
The first consideration in this case is that you have to get at least your dollar back ...
That is where the "1 +" comes in to play... now for you extra money (the interest) that is the "r"
In my stort it would be 5% (.05)... so if you keep th emoney in there for one yeat you get 1(1+.05)^1
or 1.05 ... now the compounding ... if you keep it there for a second yeat then the total is
1(1.05)(1.05) OR .... 1(1.05)^2

Now if the compounding is more than once a year (lets say quarterly) then the compounding periods has to be multiplied by 4 and the rate has to be divided by 4

1(1 + .05/4)^ 2*4 for two years...

the number of compoundings can be any number...
Now ther is a SPECIAL situation where there is a infinite compoundings per year (and NO you do not end up with an infinite amount of money)
when done the equation produces a special number "e" (2.71...)
this is called continuoue compounding... this actually will model things like radioactive decay
f(x)= P e^r

bottom line here is if the snals reproduce continuously you would use the "e" formula...
f(x) = P (1 + r) ^x.
where r is the percent increase in population each cycle and x is the time interval of each cycle
if the reproduction is at a steady interval then you can use the

Answer 9

What is thus? @david111

Answer 10

This*

Answer 11

What do you need help with...? Choose some numbers and put them in the exponential growth formula.

Answer 12

What is the exponential growth formula

Answer 13

@david111

Answer 14

\[F(x)=n _{o}e ^{rt}\]

Answer 15

n0 = initial population r = rate of growth

Answer 16

What does e stand for? Can you give me an example

Answer 17

e is the number e.

Answer 18

http://en.wikipedia.org/wiki/E_%28mathematical_constant%29

Answer 19

50% = 50/100 =0.5

Answer 20

That would be e?

Answer 21

0.5 means 50% growth per year. Initial is 5 snails.

Answer 22

Can I do 5^15t

Answer 23

F(x) = 15(.3)^x

Answer 24

Can you explain this to me

Answer 25

f(x) = P (1 + r) ^x.

Answer 26

What is p?

Answer 27

lets get strait that f(x) or f of anything just represents the y. your function is basically
y=mx+b
m- number of population increase in terms of people x- number of years b- number of people that are now present y- the total number of people depending on m,x and b.

Answer 28

Okay so can I do fx= 100x+200

Answer 29

@ganeshie8
@phi
@amistre64
@themaster
@mathmale
@hoblos
@satellite73
@hartnn
@loser66
@agent0smith

Answer 30

@david111 I'm begging you I have to finish this tonight please

Answer 31

@ganeshie8 so how do I solve thus

Answer 32

put f(x)= instead of N=

Answer 33

That's the entire question

Answer 34

I can't install the tea weaver I am on a ipad

Answer 35

It's the first one