Question

in 1994, the sports league introduced a salary cap that limits the amount of money spent on players salaries. the quadratic model y = 0.2313x² + 2.600x + 36.17 approximates this cap in millions of dollars for the years 1994 - 2009, where x = 0 represents 1994, x = 1 represents 1995, and so on. complete parts a and b.
a. approximate the sports league salary cap in 2004.
the approximate sports league salary cap in 2004 is $□ million. (round to the nearest tenth as needed.)

Explanation:

Step1: Determine the value of x for 2004

Since x = 0 represents 1994, for 2004, x = 2004 - 1994=10.

Step2: Substitute x into the quadratic - model

The quadratic model is y = 0.2313x²+2.600x + 36.17. Substitute x = 10 into the model:
y=0.2313×10²+2.600×10 + 36.17.
First, calculate 0.2313×10²: 0.2313×100 = 23.13.
Then, calculate 2.600×10 = 26.
Now, y=23.13 + 26+36.17.
y=(23.13 + 26)+36.17 = 49.13+36.17 = 85.3.

Answer:

85.3