Question

In 1994, the sports league introduced a salary cap that limits the amount of money spent on players' salaries. The quadratic model y=0.2313x^2 + 2.600x + 35.17approximates this cap in millions of dollars for the years 1994-2009, where x = 0 represents 1994, x = 1 represents 1995, and so on. Complete parts a and b.(A) Approximate the sports league salary cap in 2004The approximate sports league salary cap in 2004 is $ ___ million(Round to the nearest tenth as needed.)Part B is only available after the correct answer for Part A

Answer 1

Given

`y=0.2313x^2+2.6x+35.17`

The year 2004 corresponds to x=10; set x=10 and solve for y, as shown below

`\begin{gathered} x=10 \\ \Rightarrow y=0.2313*100+2.6*10+35.17=84.3 \\ \Rightarrow y=84.3 \end{gathered}`

Thus, the answer to part A) is 84.3.