\(32\) teams are competing in a baseball tournament. The tournament h…

Question

Prompt

32

teams are competing in a baseball tournament. The tournament has

5

rounds. After each round, half the teams competing are eliminated from the tournament. If

r

teams remain in the tournament after

x

rounds of play, which of the following gives

r

in terms of

x

r = \frac{1}{2} (3 2^{x})

r = \frac{1}{2} x^{32}

r = 32 (\frac{1}{2})^{x}

r = 32 x^{\frac{1}{2}}