The average price of an average equality acre of farmland has increased over $2000 in the last ten years. The table below lists the price of an acre of average-quality farmland in selected years.
Year, xPrice of an Acre of
Average-Quality Farmland
2000, 0 ............................ $2150
2004, 4 ............................. 2692
2005, 5 ............................. 2945
2006, 6 ............................. 3162
2007, 7 ............................. 3688
2008, 8 ............................. 4240
2009, 9 ............................. 4188
2010, 10 ............................ 4270
a) Use a graphing calculator to model the data with an exponential function, where x is the number of years since 2000.
b) Use the function found in part (a) to estimate the price per acre of average-quality farmland in 2012 and in 2015.
c) In what year will the price per acre of average equality farmland exceed $7300?