The number of teams remaining in a volleyball tournament can be determined by the function T(n)=32
1
2
n, where n is the number of completed rounds.
The function T(n) = 32 * (1/2)^n represents the number of teams remaining in the volleyball tournament after n completed rounds.
In the first round, there are 32 teams competing. After each round, half of the teams are eliminated. Therefore, in the second round, there will be 32 * (1/2) = 16 teams remaining. In the third round, there will be 32 * (1/2)^2 = 8 teams remaining. This pattern of halving the number of teams continues for each subsequent round.
The general formula for the number of teams remaining after n rounds is T(n) = 32 * (1/2)^n.