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Math Help - Population

  1. #1
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    Joined
    Nov 2005
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    Population/Exponential growth

    I need help solving this problem

    assume a pair of roaches spawns another pair at the rate of 1pair/week, assume that roaches have no predators and their lifetime is longer than 2 years. Assume that the top 2 meters of Earth's land surface is covered with dirt, loaded with bacteria, plant detritus and potential food that satisfies roaches.
    1) Starting at t=0 with 1 pair of roaches, how long will it take until the mass of the total roach population exceeds the mass of the top 2 meters of Earth's land surface? (let the mass of a roach equal 1 gram, density of Earth's top surface equal 2 gcm^{-3} , the amount of land surface equal about 25% and the radius of Earth equals 6,378km).
    2) at what generation the roaches realize that they have a problem?
    Last edited by viet; February 24th 2010 at 04:09 PM.
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