Question 304665: the promblem is very confusing
The average annual undergraduated tution and fee charges C, in dollars for a certain 4 yr college for academic years 2000-2001 through 2005-2006 can be estmiated by the equation C=29.7x^2 +314.4x +3467.1, where x is the number of years after the 2000-2001 scademic year. assuming the model will remain valid beyond 2005-2006, in which academic YEAR will tution and fee charges be 8000?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The average annual undergraduated tution and fee charges C, in dollars for a certain 4 yr college for academic years 2000-2001 through 2005-2006 can be estmiated by the equation C=29.7x^2 +314.4x +3467.1, where x is the number of years after the 2000-2001 scademic year. assuming the model will remain valid beyond 2005-2006, in which academic YEAR will tution and fee charges be 8000?
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C(x) = 29.7x^2 +314.4x +3467.1
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Solve 29.7x^2 + 314.4x + 3467.1 = 8000
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29.7x^2 + 314.4x - 4532.9 = 0
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I graphed the quadratic and found a positive
solution at x = 8.1472
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Year = 2000+8.1472 means academic year 2009-10
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Cheers,
Stan H.
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