Final answer:
After 5 rounds in a tournament that begins with 128 teams and eliminates half the teams in each round, there would be 4 teams remaining.
Step-by-step explanation:
To determine how many teams would be left after 5 rounds if the local YMCA basketball tournament starts with 128 teams and half are eliminated each round, we simply need to divide the number of teams by 2 for each round.
- Round 1: 128 / 2 = 64 teams remain
- Round 2: 64 / 2 = 32 teams remain
- Round 3: 32 / 2 = 16 teams remain
- Round 4: 16 / 2 = 8 teams remain
- Round 5: 8 / 2 = 4 teams remain
Therefore, after 5 rounds, there would be 4 teams left in the tournament.