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anonymous

  • one year ago

Suppose the population in a town has an average growth rate of 18% . If there are 15,500 people now living in town, in about how many years will the population grow to 30,000? Use the equation 30,000 = (15,500)(1.18)x and round the value of x to the nearest year.

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  1. Theloshua
    • one year ago
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    |dw:1440806804136:dw|

  2. Theloshua
    • one year ago
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    is that the equation you meant to put? its a squared?

  3. anonymous
    • one year ago
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    um yeah you drew it right.

  4. Theloshua
    • one year ago
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    okay. do you have any answer choices, or no? and did you attempt to solve it yet?

  5. anonymous
    • one year ago
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    I do have choices, but I don't know how to solve it with steps. I don't want to just generate it from a calculator... I wanna know how to do it.

  6. anonymous
    • one year ago
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    Do you want my options?

  7. Theloshua
    • one year ago
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    yes please :)

  8. Theloshua
    • one year ago
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    just to double check myself

  9. anonymous
    • one year ago
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    a. 7 b. 4 c. 6 d. 5

  10. Theloshua
    • one year ago
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    okay, just a second please

  11. anonymous
    • one year ago
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    okay

  12. Theloshua
    • one year ago
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    okay

  13. Theloshua
    • one year ago
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    The only real way possible is to solve using a calculator, but I will show you how the steps work

  14. anonymous
    • one year ago
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    okay

  15. Theloshua
    • one year ago
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    first thing you will do is divide the 15500 from both sides so:|dw:1440807637374:dw|

  16. Theloshua
    • one year ago
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    good so far?

  17. anonymous
    • one year ago
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    yeah it canceled out

  18. Theloshua
    • one year ago
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    okay, now is where your graphing calculator comes in. you must use the function (ln) to solve.

  19. Theloshua
    • one year ago
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    so \[\ln \left( 30000/15500 \right) = .66\]

  20. Theloshua
    • one year ago
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    understand so far?

  21. anonymous
    • one year ago
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    I don't have a graphing calculator on me right now but I understand

  22. Theloshua
    • one year ago
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    okay good :) then you move on to the other side and use \[\ln (1.18) = .166\]

  23. anonymous
    • one year ago
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    okay

  24. Theloshua
    • one year ago
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    so now you have \[.66 = .166x\]

  25. Theloshua
    • one year ago
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    guess what your next step is ;)

  26. anonymous
    • one year ago
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    um solve for x?

  27. Theloshua
    • one year ago
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    so? how do you do that?

  28. anonymous
    • one year ago
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    I would do 66/100 166/100 x so 2*3*11/2^2*5^2 2*83/2^3*5^3 x 330/83 which is like 3.975 ish

  29. anonymous
    • one year ago
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    so my answer would be 4

  30. anonymous
    • one year ago
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    ... I think lol

  31. Theloshua
    • one year ago
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    whoah.... idk what you just did there... all you had to do was|dw:1440808526563:dw|

  32. Theloshua
    • one year ago
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    you got the answer, but whatever you did was super complicated

  33. anonymous
    • one year ago
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    well that's how my book has others solved for x, but I mean I still got the answer. It makes sense to me

  34. anonymous
    • one year ago
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    You way is simpler so I'll use that way too

  35. anonymous
    • one year ago
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    sorry what it that number under the 1st . 66 ?

  36. Theloshua
    • one year ago
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    okay haha, yeah, whenever the equation is set up like that it is easiest to just divide both sides by the number with the variable. it instantly gives yoy your answer

  37. anonymous
    • one year ago
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    just .166 ?

  38. Theloshua
    • one year ago
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    yes, .166 both sides are divided by the number with the variable attached to it

  39. anonymous
    • one year ago
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    okay thank you so much for helping... you are the best!

  40. Theloshua
    • one year ago
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    okay :D glad I could be of assistance!!!

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