Problem

The following table shows the average cost of tuition and fees at private colleges in vari...

The following table shows the average cost of tuition and fees at private colleges in various years.’

Table

Year

Cost

1975

3672

1980

5470

1985

8885

1990

12,910

1995

17,208

2000

21,373

2005

26,908

2010

32,026

(a) Let x = 5 correspond to the year 1975. Find a quadratic function f(x) = a(xh)2 + k that models these data using (5, 3672) as the vertex and the data for 2005.


(b) Estimate the average tuition and fees at private colleges in 2015.

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