Football – The Problems
January 12, 2009
The minimum starting annual salary for rookies in the NFL is $295,000. The minimum annual salary is $370,000 for second year players and $445,000 for third year players. For a player earning the minimum salary for their experience, what is the positive difference between the percent increase the $75,000 represents from the first to second year and the percent increase the $75,000 represents from the second to third year? Round your answer to the nearest tenth.
There are 32 teams in the NFL. Sixteen of the teams are in the American Football Conference (AFC) and the other 16 teams are in the National Football Conference (NFC). At the beginning of the season, Julia tried to predict the teams that would be in each conference's championship by randomly drawing 4 teams (2 AFC teams and 2 NFC teams) from a hat. What is the probability that the 4 teams she selected are the same four teams that will be in the conferences' championships? Express your answer as a common fraction.
In football, teams can score 6 points with a touchdown, 3 points with a field goal or 2 points with a safety. Additionally, after a touchdown, teams can score 1 bonus point with a field goal kick or 2 bonus points with a 2-point conversion. The final score of a particular football game was 23 to 11. If every touchdown is followed with a successful bonus point attempt (1 or 2 points), how many different scoring combinations could have resulted in the losing team's 11 points?
Using the remaining teams, I have created a formula for determining the Super Bowl Champion. Based on their ranking in each category, a team is awarded points. The highest ranked team receives a 1, and second ranked team receives a 2, and so on. In the case of a tie, give both teams the lower score. For example, if two teams are tied for second in a category, give both teams 2 points. The lowest total score is the team that should win the Super Bowl. Using this formula, which team should win?
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