The formula for finding the time, t, at which the population of bacteria, P, is a certain number in a culture is: t = log,(P/Po) when P is the population of bacteria at time t and Po is the initial population. If you start with 5 bacteria and the bacteria triples every hour, the formula is: t = log3(P/5) ) If there are 10,935 bacteria in a culture, (b) How many bacteria will be present how many hours have elapsed? after 10.4 hours? c) When the population of bacteria in the culture exceeds 2,000,000 it will pose a health hazard. Find the time when this occurs. (d) Solve for formula for P in terms of t.
The formula for finding the time, t, at which the population of bacteria, P, is a certain number in a culture is: t = log,(P/Po) when P is the population of bacteria at time t and Po is the initial population. If you start with 5 bacteria and the bacteria triples every hour, the formula is: t = log3(P/5) ) If there are 10,935 bacteria in a culture, (b) How many bacteria will be present how many hours have elapsed? after 10.4 hours? c) When the population of bacteria in the culture exceeds 2,000,000 it will pose a health hazard. Find the time when this occurs. (d) Solve for formula for P in terms of t.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The formula for finding the time, t, at which the population of bacteria, P, is a certain
number in a culture is:
t = log,(P/Po)
when P is the population of bacteria at time t and Po is the initial population.
If you start with 5 bacteria and the bacteria triples every hour, the formula is:
t= log:(P/5)
%3D
a) If there are 10,935 bacteria in a culture, (b) How many bacteria will be present
how many hours have elapsed?
after 10.4 hours?
(c) When the population of bacteria
in the culture exceeds 2,000,000
it will pose a health hazard. Find
the time when this occurs.
(d) Solve for formula for P in terms of t.
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