4. In the year 2000, a bucket full of invasive fish was accidentally dumped into a lake, where the population began to grow rapidly. Suppose that if t is the time in years since the year 2000, then the number of invasive fish in the lake can be approximated by 18,000 p(t ) = = 1 + 1499e-0.35t' a. Fill in the table below to estimate the invasive fish population over 50 years if no action is taken to remove the fish from the lake. Year t (years) Population p (t) 2000 2010 2020 2030 2040 2050 b. How many fish were originally introduced into the lake? c. What do you think will happen to the size of the population of fish in the lake over the next few hundred years if no action is taken to remove the fish from the lake?b. How many fish were originally introduced into the lake? c. What do you think will happen to the size of the population of fish in the lake over the next few hundred years if no action is taken to remove the fish from the lake? d. Write your answer from part c as a mathematical equation using limit notation