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Thread: Combinations Function word problem

  1. #1
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    Question Combinations Function word problem

    Hi,

    I hope someone can help me figure out why the range for this word problem:

    Combinations Function word problem-screen-shot-2017-06-23-5.34.31-pm.png

    Note: knowing example 3 isn't necessary.

    I have already developed the right equation for this word problem, which is f(x) = 5000 - 25t - 1000cos((pi/6)t). I now just need to determine what the range is. Apparently the range is from 0 to 3850. I personally do not see where the number came from. Can someone please help me?

    Sincerely,
    Olivia
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  2. #2
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    Re: Combinations Function word problem



    the population cannot be less than zero, so $P(t) \ge 0$

    for $t \ge 0$, my graph of $P = 5000-1000\cos\left(\dfrac{\pi t}{6}\right) - 25t$ shows a maximum population of about $5850$ at $t \approx 5.91$ ...
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  3. #3
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    Re: Combinations Function word problem

    Yeah I see that the max range would be 5850. I think my textbook's solution is just wrong. Thanks
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