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Math Help - Going crazy on this log question!

  1. #1
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    Going crazy on this log question!

    the size P of a certain insect population at time T (in days) obeys the function P(t)=900e^0.04t

    A) number of insects at t=0 days.
    B)What is the population after 10 days
    C) when will the population reach 1260?
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  2. #2
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    A) P(0)=900e^0.04(0)
    Which is 900e^0=1

    B) P(10)=900e^0.04(10)
    Which is 900e^0.4

    C. 1260=900e^0.04t
    Which im not gonna do cause i dont have calculator
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  3. #3
    MHF Contributor
    Joined
    Mar 2007
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    Talking

    To learn how to do this on your own:

    Quote Originally Posted by Phillip1121 View Post
    the size P of a certain insect population at time T (in days) obeys the function P(t)=900e^0.04t

    A) number of insects at t=0 days.
    They have given you a formula for the number P at time t (not "T"), and have here given you a value for t and have asked for the number P. So plug the number in for t, and simplify to find the value of P.

    Quote Originally Posted by Phillip1121 View Post
    B)What is the population after 10 days
    You are given a value of 10 for t, and asked for the value of P. So plug the number in for t, and simplify to find the value of P.

    Quote Originally Posted by Phillip1121 View Post
    C) when will the population reach 1260?
    They have given you a value for P and asked for the time t. So plug the value in for P, and solve the resulting equation for the value of t.
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