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Growth of Bacteria The growth rate of Escherichia coll, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number) min (c) If the initial cell population were 2000, what is our model? Q(t) =

Growth of Bacteria The growth rate of Escherichia coll, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number) min (c) If the initial cell population were 2000, what is our model? Q(t) =

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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DETAILS TANAPCALC10 5.6.003. MY NOTES ASK YOUR TEACHER Growth of Bacteria The growth rate of Escherichia coll, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.) min (c) If the initial cell population were 2000, what is our model? Q(t) = Need Help? Road
Transcribed Image Text:DETAILS TANAPCALC10 5.6.003. MY NOTES ASK YOUR TEACHER Growth of Bacteria The growth rate of Escherichia coll, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min. (a) If the initial population is 200, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 200 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.) min (c) If the initial cell population were 2000, what is our model? Q(t) = Need Help? Road
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