In 2002, major league baseball signed a labor agreement with the players. In this agreement, any team whose payroll exceeded $136.5 million in 2006 had to pay a luxury tax of 40% (for second offenses).The linear function T(P) = 0.40(p – 136.5) describes the luxury tax T of a team whose payroll was p (in millions of dollars).

(a) What is the implied domain of this linear function?

(b) What was the luxury tax for the New York Yankees whose 2006 payroll was $171.1 million?

(c) Graph the linear function.

(d) What is the payroll of a team that pays a luxury tax of $11.7 million?