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Math Help - Word problem >_<

  1. #1
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    Word problem >_<

    I'm stuck on this word problem, I understand it, I'm just not sure how to get the answer >_<

    In 1993, the population of a country was estimated at 5 million. For any subsequent year, the population, P(t) (in millions), can be modeled usuing the equation P(t)=250/5+44.99e^-0.0208t, where t is the number of years since 1993. Use a graphing calculator to estimate the year when the population will be 24 million.

    I know, it's more like algebra review but it's in my PreCal summer assignment, so I just posted in the PreCal.
    Thanks! :]
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  2. #2
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    Quote Originally Posted by OHHxDANGG View Post
    I'm stuck on this word problem, I understand it, I'm just not sure how to get the answer >_<

    In 1993, the population of a country was estimated at 5 million. For any subsequent year, the population, P(t) (in millions), can be modeled usuing the equation P(t)=250/5+44.99e^-0.0208t, where t is the number of years since 1993. Use a graphing calculator to estimate the year when the population will be 24 million.

    I know, it's more like algebra review but it's in my PreCal summer assignment, so I just posted in the PreCal.
    Thanks! :]
    Do you own an graphing calculator ? This question requires that you produce a graph of the function P(t) = \frac{250}{5+44.99e^{-0.0208t}} and form your graph you need to estimate the value of t at which P(t) = 24

    I've attached an image of the graph if you need it.


    Bobak
    Attached Thumbnails Attached Thumbnails Word problem &gt;_&lt;-picture-1.png  
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  3. #3
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    Quote Originally Posted by bobak View Post
    Do you own an graphing calculator ? This question requires that you produce a graph of the function P(t) = \frac{250}{5+44.99e^{-0.0208t}} and form your graph you need to estimate the value of t at which P(t) = 24

    I've attached an image of the graph if you need it.


    Bobak
    Yeah, I do. So what do I do now? Would it be in 7-8 years and add that onto 1993?
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  4. #4
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    Quote Originally Posted by OHHxDANGG View Post
    Yeah, I do. So what do I do now?
    Well graphing interfaces vary form calculator to calculator. If you are unsure on how to use your calculator refer to its manual or post its make and model and maybe someone on the board will be able to help you with it.

    alternatively you can use the graph I attached to solve this problem.

    Bobak
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  5. #5
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    Quote Originally Posted by bobak View Post
    Well graphing interfaces vary form calculator to calculator. If you are unsure on how to use your calculator refer to its manual or post its make and model and maybe someone on the board will be able to help you with it.

    alternatively you can use the graph I attached to solve this problem.

    Bobak
    Oh ok, thanks, that helps a lot. So is the answer 2095.4?
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  6. #6
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    Quote Originally Posted by OHHxDANGG View Post
    Oh ok, thanks, that helps a lot. So is the answer 2095.4?
    Yes that is a good estimate.

    Bobak
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