Solve the problem.
Business The following table shows the average cost of tuition and fees, in dollars, at private colleges in various years*:
Year | Cost |
1977 | 2700 |
1982 | 4639 |
1987 | 7048 |
1992 | 10,448 |
1997 | 13,785 |
2002 | 18,060 |
2007 | 23,712 |
(a) Let x = 7 correspond to 1977. Find a quadratic function f(x) = a(x − h)2 + k that models this data, using (7, 2700) as the vertex and the data for 2007.
(b) Estimate average tuition and fees at private colleges in 2012.
*U.S. National Center for Education Statistics.
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