SOLUTION: A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.       Log On


   



Question 1070165: A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) = 400/1 + 4e^-0.18t
Find the intitial population size of the species and the population size after 10 years.
Round your answers to the nearest whole number as necessary
Initial population size: ___________
Population size after 10 years: ____________

Answer by stanbon(75887) About Me  (Show Source):
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A species of animal is discovered on an island. Suppose that the population size P(t) of the species can be modeled by the following function, where time t is measured in years.
P(t) = 400/1 + 4e^-0.18t
Find the intitial population size of the species and the population size after 10 years.
Round your answers to the nearest whole number as necessary
Initial population size: P(0) = 400/(1+4*e^0) = 400/(5) = 80
Population size after 10 years: P(10) = 400/(1+4*e^(-1.8)) = 241 when rounded up
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Cheers,
Stan H.
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