Problem 4: (20 points) In 1994, the National Football League introduced a salary cap that limits

the amount of money spent on players' salaries. The quadratic model

y = 0.2313x2 + 2.600x + 35.17

approximates this cap in millions of dollars for the years 1994-2009, where x = 0

represents 1994 , x = 1 represents 1995, and so on (source: www.businessinsider.com).

Show your work and explanations in answering the following questions:

1. Use the quadratic to find an approximate value for the NFL salary cap in 2007 to

the nearest tenth of a million dollars.

2. According to the model, in what year did the salary cap reach 90 million dollars?