Question (5 points) Suppose that 200 fish are introduced into a protected lake. The fish population can be approximated by P(t)= 200+40t 1+0.05t , with t being the time in years since the fish were introduced into the lake. Write the equation of the horizontal asymptote for this function. Also, 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.
Question
(5 points) Suppose that 200 fish are introduced into a protected lake. The fish population can be approximated
by P(t)= 200+40t 1+0.05t , with t being the time in years since the fish were introduced into the lake. Write the equation of the horizontal asymptote for this function. Also, 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.