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# A Growing Bacteria Colony

SATMAT-JEXV0F

The number of bacteria in a colony is growing exponentially according to the function, $y=a{ b }^{ x }$, where $y$ represents the population $x$ hours after $1$ pm, and where $a$ and $b$ are constants.

If there were $300$ bacteria present at $1$ pm and $5,100$ present at $4$ pm, then how many will be present at $6$ pm?

(Calculator)

A

$8300$

B

$33,635$

C

$57,800$

D

$86,441$