SAT Math Practice Question #25559 - SATify | SATify

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SAT Math Practice Question #25559 - SATify | SATify

#25559

algebra

functions

optimization

AM-GM Inequality

hard

180 sec

What is the maximum value of $\frac{( 3 ^{t} - 4 t ) t}{9 ^{t}}$ for real values of $t$ ?

A.

$\frac{1}{18}$

B.

$\frac{1}{16}$

C.

$\frac{1}{15}$

D.

$\frac{1}{14}$

E.

$\frac{1}{12}$