A species of animal is discovered on an island Suppose that

A species of animal is discovered on an island. Suppose that the population size Pt of the species can be modeled by the following function, where time t is measured in years. =Pt550+16e0.4t Find the population size after 6 years and after 8 years. Round your answers to the nearest whole number as necessary. Populationsizeafter6years: individuals Populationsizeafter8years: individuals

Solution

Pt = 550 + 16*e^(-0.4*t)

after 6 years:
t=6
Pt = 550 + 16*e^(-0.4*6)
= 551.5 individuals

after 8 years,
t=8
P8 = 550 + 16*e^(-0.4*8)
= 550.5 individuals