The populations P (in thousands) of a particular county from 1971 through 2014 can be modeled by
P = 81.6e^0.0314t
where t represents the year, with t = 1 corresponding to 1971.
a.) Use the model to complete the table. (Round your answers to the nearest whole number.)
b.) According to the model, when will the population of the county reach 380,000?