According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of \( 1.1 \% \) per year. Assuming this growth rate continues, the model
\[
P(t)=304 \cdot(1.011)^{t-2008}
\]
represents the population \( P \) (in/millions of people) in year \( t \).
According to the model, when will the population be 475 million people? Be sure to round your answer to the nearest whole year.
Year \( \square \)