Answer:
After 8.8 years the population of Eastville and Westville are same.
Step-by-step explanation:
The population of Eastville is
[tex]f\left(x\right)=4\sqrt{220x}+490[/tex]
The population of Westville is
[tex]g\left(x\right)=0.72x^2+29x+354[/tex]
The population of Eastville and Westville are same if
[tex]f(x)=g(x)[/tex]
[tex]4\sqrt{220x}+490=0.72x^2+29x+354[/tex]
It means the intersection point of the graphs of f(x) and g(x) is the required solution.
From the below figure it is noticed that the intersection point is (8.833,666.329).
[tex]x=8.833[/tex]
Therefore after 8.8 years the population of Eastville and Westville are same.
