Under optimal conditions, the growth of a certain strain of E. Coli is modeled by the Law of Uninhibited Growth A(t) = Agent where Ao is the initial number of bacteria and t is the elapsed time, measured in minutes. From numerous experiments, it has been determined that the doubling time of this organism is 20 minutes. Suppose 1900 bacteria are present initially. a) Find the exact value of k, the growth constant. Round to 6 decimal places or enter an exact answer. k = b) Using the k value from part (a), find a function that gives the number of bacteria A(t) after t minutes. A(t) c) How long until there are 8200 bacteria? Round to the nearest tenth of a minute. Time: = minutes

Under optimal conditions, the growth of a certain strain of E. Coli is modeled by the Law of Uninhibited Growth A(t) = Agent where Ao is the initial number of bacteria and t is the elapsed time, measured in minutes. From numerous experiments, it has been determined that the doubling time of this organism is 20 minutes. Suppose 1900 bacteria are present initially. a) Find the exact value of k, the growth constant. Round to 6 decimal places or enter an exact answer. k = b) Using the k value from part (a), find a function that gives the number of bacteria A(t) after t minutes. A(t) c) How long until there are 8200 bacteria? Round to the nearest tenth of a minute. Time: = minutes

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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Question

Under optimal conditions, the growth of a certain strain of E. Coli is modeled by the Law of Uninhibited
Growth A(t) = Aoekt where Ao is the initial number of bacteria and ₺ is the elapsed time, measured in
minutes. From numerous experiments, it has been determined that the doubling time of this organism is 20
minutes. Suppose 1900 bacteria are present initially.
a) Find the exact value of k, the growth constant. Round to 6 decimal places or enter an exact answer.
k=
b) Using the k value from part (a), find a function that gives the number of bacteria A(t) after t minutes.
A(t)
=
c) How long until there are 8200 bacteria? Round to the nearest tenth of a minute.
Time:
minutes

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