Hello I am struggling with the following word problem:

"Suppose that 300 fish are introduced into a protected lake. The fish population can be approximated by() =300+45 over 1+0.05, withtbeing the time in years since the fish were introduced into the lake. What is the equation of the horizontal

asymptote of the functionP(t). Interpret what this asymptote means in the context of the problem (in terms of the fish population and the number of years since the fish were introduced into the lake)."