a) Find the population size in the petri dish after the experiment has been running for 1 hour and 49 minutes. | Simplify your answer as much as possible. b) How long has the experiment been running if the population size in the petri dish is 16649? Include an exact value for your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 27E
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Species 4351-A of bacillus bacteria reproduce at an exponential rate when they are provided with sufficient
nutrients; they double in quantity every 28 minutes. This means that if a petri dish with enough nutrients begins
with a population of 146, then the population at time t will be P(t) = 1456e(ln 2)/28 where t is measured in minutes
since the start of the experiment.
a) Find the population size in the petri dish after the experiment has been running for 1 hour and 49 minutes.|
Simplify your answer as much as possible.
b) How long has the experiment been running if the population size in the petri dish is 16649? Include an exact
value for your answer.
Transcribed Image Text:Species 4351-A of bacillus bacteria reproduce at an exponential rate when they are provided with sufficient nutrients; they double in quantity every 28 minutes. This means that if a petri dish with enough nutrients begins with a population of 146, then the population at time t will be P(t) = 1456e(ln 2)/28 where t is measured in minutes since the start of the experiment. a) Find the population size in the petri dish after the experiment has been running for 1 hour and 49 minutes.| Simplify your answer as much as possible. b) How long has the experiment been running if the population size in the petri dish is 16649? Include an exact value for your answer.
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