Problema 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 exponential function, where time t is measured in years.

P(t)=790/1+5e^-1t

Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary.

Answer provided by our tutors

P(0)=790/1+5e-1(0) = 790  [ initial]

P(8) = 790/1+5e-1(8) = 790/1+5(0.3679)(8) = 790/15.716 = 50  [ after 8 years]