Question

Giving Fan and Medal. Whoever does this thank you. Four Questions!!!!
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.

Create your own exponential function, f(x), which models the snail population. You will need to identify the principal population of the snails and the rate of growth each year. Explain to Iris how your function shows the principal population and the rate of growth, in complete sentences.


A

Answer 1

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 2

https://answers.yahoo.com/question/index?qid=20130930122140AAWQsFn

Answer 3

http://openstudy.com/study#/updates/53625170e4b09c275e39f357 Think this also had answers :P

Answer 4

hahha thats the same answer I found :P I could have just posted the link LOL. :P

Answer 5

@heysweetfriend

Answer 6

ok thanks loves who do i give the medal 2 though??? @Grace808 @lizz123

Answer 7

Whoever :P what ever comment you got the answer from I guess lol

Answer 8

Haha I'll give Lizz one and you can give me one XD Medals for everyone! :P I'm soooo tired lmao

Answer 9

hahaha

Answer 10

XD math sucks xP lol

Answer 11

yeah it does

Answer 12

A local snail population grows according to the function g(x) = 200(1.03)2x. Demonstrate the steps to convert g(x) into an equivalent function with only x as the exponent. Then, explain to Iris how the key features of this local snail population compares to the key features of the invasive population.

Answer 13

What do the medals even do? :P

Answer 14

Iris wants to graph the invasive snail population to show the city council. Justify what the appropriate domain and range would be for the function f(x), what the y-intercept would be, and if the function is increasing or decreasing.

Answer 15

In five years, a garden festival plans on using the park where Iris has been studying the invasive snails. Explain to the garden festival committee how to find the average rate of change for the snail population between years 2 and 5. Describe what this average rate of change represents.

Answer 16

They help you unlock Human Calculator and 2 more

Answer 17

Dude put these into google :)

Answer 18

srry here are 3 other questions lol and yeah all medals do is bump your score and make you feel good in life and what @lizz123

Answer 19

I found several of the answers just now by doing that :)

Answer 20

lol idk about making you feel good in life :P but.. lol. I never feel good about my life xP

Answer 21

The medal help you unlock the Human Cal, Mathlete, and Honrary....

Answer 22

lol @Grace808 same here love same here :D

Answer 23

But really - word answers like this are generally easy to find by putting them into google. what do you think most people on here do to answer? XD hahaha that's what i do when I have no time to answer it myself :P or in subjects like math where I suck haha

Answer 24

:P Its a common struggle. especially in teens. *sigh* life. :P

Answer 25

What grade do you havee in math @Grace808

Answer 26

10th :P I'm taking a geometry and an algebra class.

Answer 27

https://answers.yahoo.com/question/index?qid=20140728113250AA6a2kc @heysweetfriend

Answer 28

fun stuff. I never learned the basics..... so this stuff is killing me. I missed several years of school when I was younger >.<

Answer 29

ohh. I am in 7th grade and take pre-algebra

Answer 30

fun :p enjoy it while you can.... algebra is a breeze compared to geometry </3

Answer 31

Geometry I cannot even begin to understand... we are working on getting a tutor for me. *sigh* :P

Answer 32

that is great I learn most of the stuff i dont get here

Answer 33

Anyways. I should really do school :P and try to be more positive ;b I'm getting really negative lately xP lol. Life. Math. it all sucks xP hahaha. But thats begin a teenager... :P I can't wait to graduate... like for real.. :P *sigh*

Answer 34

Same :P

Answer 35

I graduate from my school next year and then I move tto high school

Answer 36

yeeeeah.. highschool is... fun. :P It doesn't have to be horrible.. if you just focus on school and forget all the teenage drama around you.. especially if you go to a school. teenagers.. enjoy drama. :P And love being mean for no apparent reason -.- lol

Answer 37

i had lots of drama last year and since my best friend left the drama sstop but now I am stuck with a little drama
:(

Answer 38

Yeah... it happens wherever you go sadly. :/ It's hard to stay out of... :P

Answer 39

Focusing on school you would think is easy. lol. I struggle with it a lot... I say as I type NOT doing school and procrastinating some more... lol XD

Answer 40

Same i am going to 8th grade next year then i graduate

Answer 41

Example A everybody :P lol laters guys. Hope we helped sweet friend :)

Answer 42

thanks bye @Grace808 @lizz123

Answer 43

Drama is so stupid. IT IS! lol. But i had nothing to do with the drama last year than all of the sudden I was in it. I knew nothing that my friends knew

Answer 44

haha nice :) I didn't really do middle school...... :\ not by choice.. we just couldn't.. I started high school but then.. got really depressed because of bullying... and after ending up in the hospital... :/ I started this new online school. I like it a lot more... people... can be so hurtful :/

Answer 45

I'm a lot better now. no longer depressed, and trying my best in life. because your best is all you can do :)

Answer 46

and in school XD ish. when I am not procrastinating lol.

Answer 47

that is so true i wish you can be here right where i am and help me with half of the stuff you were going through

Answer 48

aww so srry to hear that girls

Answer 49

i like me school lol

Answer 50

Haha, yeah.. it gets rough being alone... but hey! I am a little older than you and have been through a lot of things :P if you ever need some advice feel free t shoot em a message :) I will help if I can :)

Answer 51

thank you :) @Grace808

Answer 52

I love helping others. thats what I do with my life :) When I'm not doing school lol

Answer 53

lol

Answer 54

thx you are the best

Answer 55

lol XD you too I guess ;D both of you lmao. I am always here :) I never judge, I understand, and I guarantee I've been in the same situation :) I have gone through more thnsg than most adults even have :P hha my life has been insane. but its ok. because i can use those situations to help others :) everything happens for a reason. heel your head up guys :) things get better after middle school and high school. :)

Answer 56

You guys are welcome. :) *hugs* seriously gotta go :3 I could talk all day long. :) :P

Answer 57

sorry for all the typos - I'm trying to type too fast lol but ya'll get the point :)

Answer 58

I am going to try to get more medals if i need anymore help I will ask you with life situations

Answer 59

lol bye @Grace808