Question

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

Answer 1

Let T be the number of teams after n rounds.

`T=128*((1)/(2))^(n)`

When T = 16, we get:
`16=128*((1)/(2))^(n)`
Dividing both sides by 128, we get:

`(1)/(8)=((1)/(2))^(n)`
Therefore n = 3
The answer is 'after the third round'.