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Math Help - Exponential Growth and rates

  1. #1
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    Exponential Growth and rates

    Ok, my problem is: Say we start with 1000 birds. Let B represent the bird population, and t = time in days. After 10 days the population is growing at a rate of 20 birds per day. Find B(t).

    Now, can I assume that B(0) = 1000? If thats the case, and we are using P(t) = Ce^(kt), then C is 1000? Is this the correct thinking? I'm not really sure how to solve this problem. Help is much appreciated!
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  2. #2
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    Quote Originally Posted by intervade View Post
    Now, can I assume that B(0) = 1000? If thats the case, and we are using P(t) = Ce^(kt), then C is 1000?
    Sounds good

    B(t) = 1000e^{kt}

    Quote Originally Posted by intervade View Post
    After 10 days the population is growing at a rate of 20 birds per day. Find B(t).

    This means at t=10 \implies B'(10) = 20
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