Section 2 2-41 106. Luxury taxes: In professional baseball, the luxury tax is a tax on the amount a team's total payroll exceeds a set threshold established by the league. The tax is intended to prevent teams in larger and more profitable markets from dominating the sport by attracting a majority of the most talented (and hence highest paid) players. In 2004, this threshold was set at $120.5 million dollars. By 2009 the threshold had been raised to $162 million. (a) Assuming the relationship is linear, use the relation (year, threshold) with t = 4 corresponding to 2004 to find an equation model for the yearly increase of the payroll threshold. (b) Discuss what the slope indicates in this context. (c) According to this model, what was the approximate threshold in 2011? (d) In what year is the threshold expected to exceed 196 million