Chapter 8.4, Problem 35E

Tuition Costs Average annual tuition and fees for in-state students at public four-year colleges are shown in the table for selected years and graphed as ordered pairs of points, where $x=0$ represents 2005,. $x=1$ represents 2006, and so on, and f(x) represents the cost in dollars.

Tuition and Fees
Year	Cost (in dollars)
2005	5492
2006	5804
2007	6191
2008	6591
2009	7050
2010	7605

Source: Trends in College Pricing2010, The College Board.

(a) Use the points from the years 2005 and 2010 to find a linear function f that models the data.

(b) Use the function from part (a) to estimate the cost of tuition and fees, to the nearest dollar, at public four-year colleges in 2012.