The equation i.e. used to denote the population after x years is:
[tex]P(x)=490(1+0.20)^x[/tex]
This problem could be modeled with the help of a exponential function.
The exponential function is given by:
[tex]P(x)=ab^x[/tex]
where a is the initial value.
and b=1+r where r is the rate of increase or decrease.
Here the initial population of the animals are given by: 490
i.e. a=490
Also, the rate of increase is: 20%
i.e. r=20%
i.e. r=0.20
Hence, the population function i.e. the population of the animals after x years is:
[tex]P(x)=490(1+0.20)^x[/tex]
