In April 1998, the basketball players Michael Jordan and Shaquille (Shaq) O’Neal were vying for the season individual scoring title until the last game of the season. The scoring title is won by the player with the highest average of points per game, calculated by dividing the total number of points by the number of games the player has played. (Customarily, averages are rounded to the nearest tenth.)
Before the last game, Jordan had scored 2,313 points in 81 games and Shaq had scored 1,666 points in 59 games. No on else has a chance to win the title.
- Given the above information, what are all the possible outcomes?
- What are the critical point totals in terms of a change in outcomes?
- If Jordan scores more points in the last game than Shaq, will he necessarily win?
- If Shaq scores more points in the last game than Jordan, will he necessarily win?
Solve algebraically and graphically. How does one representation inform the other?
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