The population of goats on a particular nature reserve t years after the initial population was sett

Discussion in 'Calculator Requests' started by math_celebrity, Nov 7, 2016.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    The population of goats on a particular nature reserve t years after the initial population was settled is modeled by p(t) = 4000 - 3000e^-0.2t. How many goats were initially present?

    Initially present means at time 0. Substituting t = 0, p(0), we get:
    p(0) = 4000 - 3000e^-0.2(0)
    p(0) = 4000 - 3000e^0
    p(0) = 4000 - 3000(1)
    p(0) = 4000 - 3000
    p(0) = 1000
     

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