The data set represents the population of a rare turtle species on an island for the years since 1980:

(Year, Population): (1980, 1000), (1984, 736), (1988, 1208), (1990, 1600), (1995,2650), (2000, 3200), (2001, 3184), (2005, 2500)

a) determine a polynomial function and explain why you used that model

b)predict when the species will become extinct