Answer:
Step-by-step explanation:
As per Malthusian population theory
[tex]{ P(t)=P_{0}e^{rt}}[/tex] where P0 = initial population in 2016 = 4000
and t = no of years from 2016
We are given P(2) =4050
i.e. [tex]4000e^rt} =4050\\2r=log \frac{4050}{4000} =0.0124\\r=0.0062[/tex]
Hence we have
[tex]P(t)=4000e^{0.0062t}[/tex]
Using this in 2020, t = 4.
Population in 2020 = [tex]P(4)=4000e^{0.0062*4}\\=4100.43\\[/tex]
