JozelynW
  • JozelynW
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. 2.) 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.
Mathematics
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
JozelynW
  • JozelynW
@pooja195 please help me
anonymous
  • anonymous
\[g(x)=200(1.03)^{2x}=200(1.03^2)^x\] Growth rate formula \[g(x)=A(1+r)^x\] A = initial amount, r = growth rate
JozelynW
  • JozelynW
the answer is g(x)=200(1.0609)^x. I need help with the second part of the question @peachpi

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JozelynW
  • JozelynW
@dan815
JozelynW
  • JozelynW
@readergirl12
JozelynW
  • JozelynW
@avis
anonymous
  • anonymous
|dw:1433023159625:dw|
JozelynW
  • JozelynW
@peachpi Then explain to Iris...... how do i do that part?
JozelynW
  • JozelynW
@mathmate
JozelynW
  • JozelynW
do you know
mathmate
  • mathmate
Use the identity \(b^{kx} =b^kb^x \) Since b=1.03, b^2=1.03^2=1.0609 For the rest, see explanation by @peachpi
JozelynW
  • JozelynW
but for the then explain to iris part of the equation i need help on
JozelynW
  • JozelynW
1 Attachment
JozelynW
  • JozelynW
@pooja195
JozelynW
  • JozelynW
@dan815
JozelynW
  • JozelynW
@mathmate where did you go?
JozelynW
  • JozelynW
@Thesmarterone
mathmate
  • mathmate
I'm here! :)
JozelynW
  • JozelynW
for the second part of the question then explain to iris... I need help with that part.
JozelynW
  • JozelynW
@mathmate you are gone again
JozelynW
  • JozelynW
@prettypink_mega
anonymous
  • anonymous
What was your function in part 1?
anonymous
  • anonymous
They're asking you to compare the features of f(x) from #1 and g(x) from #2.
JozelynW
  • JozelynW
f(x)=100(1+0.7)^x
JozelynW
  • JozelynW
so how do i do that?
anonymous
  • anonymous
Write a sentence about how the initial populations are different and another sentence about how they are growing at different rates.
JozelynW
  • JozelynW
what grade are you in?
anonymous
  • anonymous
none
JozelynW
  • JozelynW
finished school
anonymous
  • anonymous
yes
JozelynW
  • JozelynW
ok so then please come back because i need help with another question similar to this
JozelynW
  • JozelynW
3.)3. 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.
anonymous
  • anonymous
The domain for an exponential function is all real numbers. The range of f(x) is y > 0 because it hasn't been shifted vertically. Plug in 0 for x to get the y-intercept.
JozelynW
  • JozelynW
ok
JozelynW
  • JozelynW
wait how?
JozelynW
  • JozelynW
@peachpi

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