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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,

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter24: Percent Practical Applications
Section: Chapter Questions
Problem 35A
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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,
Transcribed Image Text: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
Transcribed Image Text: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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