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).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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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).
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