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Math Help - Help me sove this word problem please.

  1. #1
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    Help me sove this word problem please.

    A rare species of insects was discovered in th amazon river forest. To protect the species envirementalists declare the species endangered. The populalation of the insects T months after being transplanted is given by P


    P(t) 50(1+.5T)
    _________

    (2+.01T)

    How many insects were discovered? what was the population at when T=0

    I brought (2+.01T) over to the other side of the = sign and made p(t) 0

    so I got

    (2+.01T)(0)=50(1+.5t)

    0= 50+25T.

    I'm pretty sure I'm wrong, but am not able to see another way.

    What am i doing wrong?

    Thanks

    Jason
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Darkhrse99 View Post
    A rare species of insects was discovered in th amazon river forest. To protect the species envirementalists declare the species endangered. The populalation of the insects T months after being transplanted is given by P


    P(t) 50(1+.5T)
    _________

    (2+.01T)

    How many insects were discovered? what was the population at when T=0

    I brought (2+.01T) over to the other side of the = sign and made p(t) 0

    so I got

    (2+.01T)(0)=50(1+.5t)

    0= 50+25T.

    I'm pretty sure I'm wrong, but am not able to see another way.

    What am i doing wrong?

    Thanks

    Jason


    P(t) = \frac{50(1 + 0,5t)}{(2 + 0,1t)}

    P(t) = \frac{(50 + 25t)}{(2 + 0,1t)}

    P(t) = (50 + 25t)(2 + 0,1t)^{-1}

    P(t) = (50 + 25t)(0,5 + 10t^{-1})

    P(t) = 25 + 500t^{-1} + 12,5t + 120

    P(t) = 500t^{-1} + 12,5t + 145

    When t = 0

    P(0) = 500(0)^{-1} + 12,5(0) + 145

    P(0) = 145
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  3. #3
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    Thank you very much.
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  4. #4
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Darkhrse99 View Post
    Thank you very much.
    You're welcome
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  5. #5
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    Quote Originally Posted by Darkhrse99 View Post
    A rare species of insects was discovered in th amazon river forest. To protect the species envirementalists declare the species endangered. The populalation of the insects T months after being transplanted is given by P


    P(t) 50(1+.5T)
    _________

    (2+.01T)

    How many insects were discovered? what was the population at when T=0

    I found out that 25 is the correct number of insects. When you make T=0 you get

    50(1+.5(0))
    __________
    (2+.01(0)


    What's in the paranthesis = 0 on the top, so your left with 50/2 = 25 insects discovered.


    Jason
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  6. #6
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Darkhrse99 View Post
    I found out that 25 is the correct number of insects. When you make T=0 you get

    50(1+.5(0))
    __________
    (2+.01(0)


    What's in the paranthesis = 0 on the top, so your left with 50/2 = 25 insects discovered.


    Jason
    Sorry about that. My bad.
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