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Discrete Mathematics

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The population of rabbits in a particular habitat triples every year. If there are 500 rabbits in 2013, when will there be over 100,000 rabbits?

  • Discrete Mathematics -

    Year 1--2013--3^0*500 = 500 Rabbits
    Year 2--2014--3^1*500 = 1500
    Year 3--2015--3^2*500 = 4500

    Year n--20xx--3^(n-1)*500 = 100,000

    3^(n-1)*500 = 100000
    3^(n-1) = 200
    (n-1)*Log 3 = Log 200
    n-1 = Log 200/Log 3 = 4.82
    n = 5.82 or 6 Yrs.

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