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SAT® Math

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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 $