2.. (10 points) Round goby, a type of fish, was introduced to lake Erie in 1990. The graph shows the sh population for the next few years. Assume population grows exponentially. P(t 3000 2000 2600 2400 2200 2000 1800 1000 1400 1200 1000 800 600 400 200 0123453739101112131415l a) What is the initial round goby population? (when t=0) b) Find a function P0?) = Poe\" that models the population t years since the round goby were introduced to the lake. (Hint: You can use a point on the graph such as (1,600) to find r.) Answer: P(t)= c) Estimate how long it takes the round goby population to reach 5000