SOLUTION: in 1998, the sports league introduced a salary cap that limits the amount of money spent on players’ salary. the quadratic model y=0.2313x^2+2.600x+35.17 approximates this cap in

Algebra ->  Human-and-algebraic-language -> SOLUTION: in 1998, the sports league introduced a salary cap that limits the amount of money spent on players’ salary. the quadratic model y=0.2313x^2+2.600x+35.17 approximates this cap in      Log On


   



Question 1184500: in 1998, the sports league introduced a salary cap that limits the amount of money spent on players’ salary. the quadratic model y=0.2313x^2+2.600x+35.17 approximates this cap in millions of dollars for the years 1998-2012, where x=0 represents 1998, x=1 represents 1999, and so on. complete parts a and b.
a) approximate the sports league salary cap in 2008.
b) according to the model, in what year did the salary cap reach 95 million dollars?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=0.2313x^2+2.600x+35.17
x=10 in 2008
so y=23.13+26+35.17=$84.31 million.
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95=0.2313x^2+2.600x+35.17
or y 0.2313x^2+2.600x-59.83
y=(1/0.4626)(-2.600+sqrt(6.76+55.354)); sqrt term=7.88
y=11.42 years
this would be 2010.
graph%28300%2C300%2C-5%2C15%2C-20%2C120%2C84.41%2C95%2C0.2313x%5E2%2B2.600x%2B35.17%29