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JozelynW
 one year ago
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.
JozelynW
 one year ago
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.

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JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0@pooja195 please help me

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[g(x)=200(1.03)^{2x}=200(1.03^2)^x\] Growth rate formula \[g(x)=A(1+r)^x\] A = initial amount, r = growth rate

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0the answer is g(x)=200(1.0609)^x. I need help with the second part of the question @peachpi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433023159625:dw

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0@peachpi Then explain to Iris...... how do i do that part?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.0Use 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
 one year ago
Best ResponseYou've already chosen the best response.0but for the then explain to iris part of the equation i need help on

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0@mathmate where did you go?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0for the second part of the question then explain to iris... I need help with that part.

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0@mathmate you are gone again

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What was your function in part 1?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0They're asking you to compare the features of f(x) from #1 and g(x) from #2.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Write a sentence about how the initial populations are different and another sentence about how they are growing at different rates.

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0what grade are you in?

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.0ok so then please come back because i need help with another question similar to this

JozelynW
 one year ago
Best ResponseYou've already chosen the best response.03.)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 yintercept would be, and if the function is increasing or decreasing.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The 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 yintercept.
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