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

Question

henrietepurina · Answer

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.

anonymous · Answer

Which do you need help on?

henrietepurina · Answer

My reply!

anonymous · Answer

Ok well I just did this and for this pare you just form a function in terms of f(x) to model the population it can be as you choose.

henrietepurina · Answer

how do you do it?

henrietepurina · Answer

is still do understand the y intercept @pierodog

henrietepurina · Answer

*I* not is

anonymous · Answer

This question doesn't ask for y-intercept yet.

henrietepurina · Answer

Oh so can you pls help me from the equation

henrietepurina · Answer

*form* not from

anonymous · Answer

Well it really is up to you what do you want the number of snails in the beginning to be?

henrietepurina · Answer

i dunno 0?

anonymous · Answer

No a real number anything higher than 0.

henrietepurina · Answer

then 1

henrietepurina · Answer

can we finish please? @pierodog

anonymous · Answer

Ok so now use this function $$f(x)=a(b)^x$$

anonymous · Answer

a will be the principle meaning how much you start with.

henrietepurina · Answer

f(x) = 1(b)x

anonymous · Answer

Alrght, now b will be by how much it gets bigger, like if it doubles it would be 2, if it triples it would be 3, and so on and so forth.

henrietepurina · Answer

i dont know it! (B)

anonymous · Answer

You create this formula, it increases yearly by whatever you want, it could double, triple, quadruple, quintuple, whatever.

henrietepurina · Answer

can i do double?

henrietepurina · Answer

so umm... f(x) = 1(2)x

anonymous · Answer

Yes, I did.

anonymous · Answer

Alright, now x will equal the time, meaning how long it will be, I think the question asks for 15?

henrietepurina · Answer

so umm... f(x) = 1(2)15

henrietepurina · Answer

and the answer is 32768 if they start with 1!

anonymous · Answer

Yes, that would be your function

henrietepurina · Answer

OMG thanks a lot bud!

anonymous · Answer

You're welcome, I'm glad I could help.

henrietepurina · Answer

Now I get also how you do it!

anonymous · Answer

See? It's quite simple.