The table shows the cost of a year’s tuition, room and board, and fees at 4-year public colleges for the years 2006–2014. Letting y represent the cost in dollars and x the number of years since 2006, the function ƒ(x) = 13,017(1.05)^x models the data quite well. According to this function, in what year will the 2006 cost be doubled?

Year .............................................Average Annual Cost

2006 .....................................................$12,837

2007 .....................................................$13,558

2008 .....................................................$14,372

2009 .....................................................$15,235

2010 .....................................................$16,178

2011 .....................................................$17,156

2012 .....................................................$17,817

2013 .....................................................$18,383

2014 .....................................................$18,943