we are given
population gets doubled after every 50 years
so, we can set up function as
[tex] F=P(2)^{\frac{t}{50}} [/tex]
Here ,
P is initial population
t is time in years
F is future population
so, we have
P=2500000
t=2100-1950
t=150
we can plug these values
and we get
[tex] F=2500000(1+1)^{\frac{150}{50}} [/tex]..........Answer