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A certain type of bacteria doubles in population every hour. Their growth can be modeled by an exponential equation. Initially, there are 15 bacteria colonies present in the sample.

AFind an equation to model the bacteria growth.
BHow many colonies are present after 3 and a half hours?
CWhen will there be 584 colonies present?

Verified Answer :

A: y=2x 15 (or whatever variables you choose to represent the colony growth and time)

B: y=2(3.5) 15;
22 colonies

C: substitute 584 with y into the original equation, so:
584=2x 15
569=2x
284.5=x; therefore, after 284.5 hours Hope this helps! :D

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