Question

There are a total of 128 teams at the start of a 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, x, there are 16 teams left.

Answer 1

Answer:

'after the third round'.

Step-by-step explanation:

Let T be the number of teams after n rounds.

T=128\times(\frac{1}{2})^{n}

When T = 16, we get:16=128\times(\frac{1}{2})^{n}

Dividing both sides by 128, we get:

\frac{1}{8}=(\frac{1}{2})^{n}

Therefore n = 3

The answer is 'after the third round'.

Answer 2

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