A colony of bacteria grows exponentially. The colony begins with 3 bacteria, but 2 hours after the beginning of the experiment, it has grown to 50 bacteria. (a) Give a formula for the number of...


A colony of bacteria grows exponentially. The colony begins with 3 bacteria, but 2 hours after the beginning of the experiment, it has grown to 50 bacteria.



(a)
Give a formula for the number of bacteria, P, as a function of time t in hours.


Round your answer for the hourly growth rate to four decimal places.










P=


(b)
How long does it take for the colony to triple in size?



Round your answer to two decimal places.


The colony triples in size in.  hour(s).


Jun 03, 2022
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