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Math Help - exponential growth and decay help plz

  1. #1
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    exponential growth and decay help plz

    I am stuck on this problem..i would really appreciate any help.
    If the world population is 1990 was 4.5billion and it is growing exponentially with a growth constant k = (ln3)/8, estimate the world population in the year 2014.
    im thinking to use y = Ce^(kx)
    but I have trouble with these types of problems.
    Thanks for the help!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by davecs77 View Post
    I am stuck on this problem..i would really appreciate any help.
    If the world population is 1990 was 4.5billion and it is growing exponentially with a growth constant k = (ln3)/8, estimate the world population in the year 2014.
    im thinking to use y = Ce^(kx)
    but I have trouble with these types of problems.
    Thanks for the help!
    use y = Ce^{kt}

    where y is the population at time t, k is the growth constant, C is the initial population, and t is the time. thus we have:


    y = 4.5e^{\ln (3) t/8} for y in billions.

    now plug in t = 24 (since we start at 1990 and go to 2014)and solve for y
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