Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year. Part A: Write the explicit equation for f(n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f(n)? Show all necessary math work. (3 points)