(Modeling) Solve each problem. See Example 4 .
Cost of Public Colleges The average cost, in dollars, for tuition and fees for in-state students at four-year public colleges over the period 2000–2014 can be modeled by the equation
y = 4.065x2 + 370.1x + 3450
where x = 0 corresponds to 2000, x = 1 corresponds to 2001, and so on. Based on this model, for what year after 2000 was the average cost $8605? (Source: The College Board, Annual Survey of Colleges.)
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