There are a total of 128 teams at the start of the citywide 3 on 3 basketball tournament. half the teams are eliminated after each round. write and solve an exponential equation to determine after which round there are 16 left

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toporc
Let T be the number of teams after n rounds.
[tex]T=128\times(\frac{1}{2})^{n}[/tex]

When T = 16, we get:[tex]16=128\times(\frac{1}{2})^{n}[/tex]
Dividing both sides by 128, we get:
[tex]\frac{1}{8}=(\frac{1}{2})^{n}[/tex]
Therefore n = 3
The answer is 'after the third round'.