Please answer the first question in the picture and show work like the second picture After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growthis proportional to the number of bacteria present, determine the time necessary for thepopulation of bacteria to triple. Round your answer to the nearest tenth of an hour, After 1 hour, the population of a culture of bacteria has increased by 25%. If the rate of growth isproportional to the number of bacteria present, determine the time necessary for the populationof bacteria to double. Round your answer to the nearest tenth of an hour.P = Poekt1.25P, = Poek(1)1.25 = ekIn 1.25 = In ekIn 1.25 = k ln ek = In 1.25%3DP = P,ekt2P, = Poeln 1.25 t2 = eln 1.25 tIn 2 = In eln 1.25 tIn 2 = In 1.25 t In eIn 2 = In 1.25 tIn 2%3Dt =In 1.25- 3.1 hours

Answered: Image /qna-images/answer/24849329-2b77-4fc1-9808-62c60e981a19.jpg

After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth is proportional to the number of bacteria present, determine the time necessary for the population of bacteria to triple. Round your answer to the nearest tenth of an hour,

After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth is proportional to the number of bacteria present, determine the time necessary for the population of bacteria to triple. Round your answer to the nearest tenth of an hour,

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...

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Question

Please answer the first question in the picture and show work like the second picture

After 2 hours, the population of a culture of bacteria has increased by 50%. If the rate of growth
is proportional to the number of bacteria present, determine the time necessary for the
population of bacteria to triple. Round your answer to the nearest tenth of an hour,

After 1 hour, the population of a culture of bacteria has increased by 25%. If the rate of growth is
proportional to the number of bacteria present, determine the time necessary for the population
of bacteria to double. Round your answer to the nearest tenth of an hour.
P = Poekt
1.25P, = Poek(1)
1.25 = ek
In 1.25 = In ek
In 1.25 = k ln e
k = In 1.25
%3D
P = P,ekt
2P, = Poeln 1.25 t
2 = eln 1.25 t
In 2 = In eln 1.25 t
In 2 = In 1.25 t In e
In 2 = In 1.25 t
In 2
%3D
t =
In 1.25
- 3.1 hours

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