The population of a certain country in 2000 was 285 million people. In addition, the population of the country was growing at a rate of 1.1% per year. Assuming that this growth rate continues, the model $P(t) = 285(1.011)^{t - 2000}$ represents the population P (in millions of people) in year t. According to this model, when will the population of the country reach each of the following?
(a) 309 million people
(b) 393 million people
(a) The population of the country will reach 309 million people during the year
(Round down to the nearest whole number as needed.)
