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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.

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  1. JozelynW
    • one year ago
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    @pooja195 please help me

  2. anonymous
    • one year ago
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    \[g(x)=200(1.03)^{2x}=200(1.03^2)^x\] Growth rate formula \[g(x)=A(1+r)^x\] A = initial amount, r = growth rate

  3. JozelynW
    • one year ago
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    the answer is g(x)=200(1.0609)^x. I need help with the second part of the question @peachpi

  4. JozelynW
    • one year ago
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    @dan815

  5. JozelynW
    • one year ago
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    @readergirl12

  6. JozelynW
    • one year ago
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    @avis

  7. anonymous
    • one year ago
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    |dw:1433023159625:dw|

  8. JozelynW
    • one year ago
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    @peachpi Then explain to Iris...... how do i do that part?

  9. JozelynW
    • one year ago
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    @mathmate

  10. JozelynW
    • one year ago
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    do you know

  11. mathmate
    • one year ago
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    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

  12. JozelynW
    • one year ago
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    but for the then explain to iris part of the equation i need help on

  13. JozelynW
    • one year ago
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  14. JozelynW
    • one year ago
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    @pooja195

  15. JozelynW
    • one year ago
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    @dan815

  16. JozelynW
    • one year ago
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    @mathmate where did you go?

  17. JozelynW
    • one year ago
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    @Thesmarterone

  18. mathmate
    • one year ago
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    I'm here! :)

  19. JozelynW
    • one year ago
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    for the second part of the question then explain to iris... I need help with that part.

  20. JozelynW
    • one year ago
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    @mathmate you are gone again

  21. JozelynW
    • one year ago
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    @prettypink_mega

  22. anonymous
    • one year ago
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    What was your function in part 1?

  23. anonymous
    • one year ago
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    They're asking you to compare the features of f(x) from #1 and g(x) from #2.

  24. JozelynW
    • one year ago
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    f(x)=100(1+0.7)^x

  25. JozelynW
    • one year ago
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    so how do i do that?

  26. anonymous
    • one year ago
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    Write a sentence about how the initial populations are different and another sentence about how they are growing at different rates.

  27. JozelynW
    • one year ago
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    what grade are you in?

  28. anonymous
    • one year ago
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    none

  29. JozelynW
    • one year ago
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    finished school

  30. anonymous
    • one year ago
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    yes

  31. JozelynW
    • one year ago
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    ok so then please come back because i need help with another question similar to this

  32. JozelynW
    • one year ago
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    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.

  33. anonymous
    • one year ago
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    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.

  34. JozelynW
    • one year ago
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    ok

  35. JozelynW
    • one year ago
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    wait how?

  36. JozelynW
    • one year ago
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    @peachpi

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