My street hockey team plays three games each week. My team lost all 12 games in the first four weeks. Then, my team won two games and lost one game in the fifth week, bringing our record to 2 wins and 13 losses. Each week after that, my team won two games and lost one game. My team first wins at least 50% of all its games by the end of the first n weeks. What is n?
+1622 Draw a table: (or solve algebraically)
Week 5: 2 wins 13 losses
Week 6: 4 wins 14 losses
Week 7: 6 wins 15 losses
Week 8: 8 wins 16 losses
Week 9: 10 wins 17 losses
Week 10: 12 wins 18 losses
...
Week 13: 18 wins 21 losses
Week 14: 20 wins 22 losses
Week 15: 22 wins 23 losses
Week 16: 24 wins 24 losses
To solve algebraically:
f(n) = 2n - 8 wins, n + 8 losses
2n - 8 = n + 8
n = 16
