The table lists total fall enrollments in degree-granting postsecondary colleges in the United States for selected years.

(a) Plot the data. Let x = 0 correspond to the year 2008.

(b) Find a quadratic function ƒ(x) = ax² + bx + c that models the data.

(c) Plot the data together with ƒ in the same window. How well does ƒ model enrollment?

(d) Use ƒ to estimate total enrollment in 2013 to the nearest tenth of a million.

Year ...................................Enrollment (in millions)

2008 ...................................................19.1

2009 ...................................................20.4

2010 ...................................................21.0

2011 ...................................................21.0

2012 ...................................................20.6