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Math·Advanced Math·Nonlinear functions

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$32$ 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 $x$?

A

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

B

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

C

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

D

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