Answer: 85688
Step-by-step explanation:
The exponential decay function is given by :-
[tex]y=Ae^{-rt}[/tex], where A is the initial amount , r is the rate of decay (in decimal) and t is the time period.
The according to the question we have :_
[tex]35542=Ae^{-0.22\times4}\\\\\Rightarrow\ 35542=Ae^{-0.88}\\\\\Rightarrow\ 35542=A(0.41478291168)\\\\\Rightarrow\ A=\frac{35542}{0.41478291168}\\\\\Rightarrow\ A=85688.1973654\approx85688[/tex]
Hence, the initial population in the city before the epidemic broke out= 85688
