If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is $n=f(t)=100\left(2^{\frac{t}{3}}\right)$ . When will the population reach 35,000? Round the answer to the nearest tenth.
A) 30.4 hours
B) 15.4 hours
C) 20.4 hours
D) 35.4 hours
E) 25.4 hours

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The Answer of If a bacteria population starts with 100 bacteria and doubles every three hours, then the number of bacteria after t hours is $n=f(t)=100\left(2^{\frac{t}{3}}\right)$ . When will the population reach 35,000? Round the answer to the nearest tenth.
A) 30.4 hours
B) 15.4 hours
C) 20.4 hours
D) 35.4 hours
E) 25.4 hours

If a Bacteria Population Starts with 100 Bacteria and Doubles n=f(t)=100(2t3)n=f(t)=100\left(2^{\frac{t}{3}}\right)n=f(t)=100(23t​)

If a Bacteria Population Starts with 100 Bacteria and Doubles $n=f(t)=100\left(2^{\frac{t}{3}}\right)$