Question

Can someone explain a problem to me? I'll give a medal. (Algebra 1)

Answer 1

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.

The function I made was.\[f(x)=2(4)^{2x}\]

Answer 2

I don't really get the Principal part. :/

Answer 3

@geerky42

Answer 4

hmm why did you made that function?

Answer 5

Or more into the point where did you come up with the model?

Answer 6

I modeled it off of a function on another problem.

Answer 7

well problem are not like always you know!
you need to give good reasoning for you model here?

Answer 8

should I change it?

Answer 9

well i don't know yet! but you need to give an explanation why should that model work?

Answer 10

I don't think I have to... but if it doesn't work well with the problem I'm happy to change it.

Answer 11

There is no random selection of model to this stuff! you need to have good
and full explanation! let's i'm interested in studying this snail population growth
how do i test that you chosen model is the right one?

Answer 12

by comparing the outputs to your data?

Answer 13

what I'm saying is not provide an explanation on the paper!
I'm basically calling here for what motivated you to think that the model will work
certainly this not a random choice, you have said that you saw a similar problem who did a similar thing, but is that by itself enough?

Answer 14

well where is the data then?

Answer 15

There isn't any. I posted the entire question.

Answer 16

then you just guessed and said it's f(x)=2(4)^2x

Answer 17

???

Answer 18

basically. Technically I am supposed to make the data.

Answer 19

does the question ask you to make the data?

Answer 20

no...

Answer 21

So why do you think you need to make one?

Answer 22

the data is hypothetical, its what ever I want it to be, based off of the function I create.

Answer 23

oh by the way you asked what the principal is
the principal is the initial population that you start with

Answer 24

so is the principal 2 or 32?

Answer 25

Ok, so create the data and see if you can do this?!

Answer 26

i have no idea why you model has to be f(x)=2(4)^2x so i don't know what the principal is

Answer 27

This is what the table of data would look like,

Answer 28

that's a different model though?

Answer 29

no

Answer 30

the table is for this problem?

Answer 31

No I made it

Answer 32

This is the entire page. There is no data table.

Answer 33

the problem is there is no consistency!
i can choose for expamle f(x)=45e^2t

Answer 34

but what is the principal for my function?

Answer 35

i can make it whatever exponential i want and it will still be a possible model for this
population growth

Answer 36

I have to go now, i hope you got the idea here

Answer 37

I have no idea what to do.