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The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N(t) = ae0.166t, where N is the number of cells after t hours and a is the number of cells when t 0. At 1:00 pm, there are 50 M. tuberculosis bacteria in a sample. Find the number of cells in the sample at 3:45 p.m. Round to the nearest whole number. There are about cells at 3:45.

The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N(t) = ae0.166t, where N is the number of cells after t hours and a is the number of cells when t 0. At 1:00 pm, there are 50 M. tuberculosis bacteria in a sample. Find the number of cells in the sample at 3:45 p.m. Round to the nearest whole number. There are about cells at 3:45.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N(t) = ae0.166t, where N is the number of cells after t hours and a is the number of cells when t = 0. At 1:00 pm, there are 50 M. tuberculosis bacteria in a sample. Find the number of cells in the sample at 3:45 p.m. Round to the nearest whole number. There are about cells at 3:45.
Transcribed Image Text:The growth of Mycobacterium tuberculosis bacteria can be modeled by the function N(t) = ae0.166t, where N is the number of cells after t hours and a is the number of cells when t = 0. At 1:00 pm, there are 50 M. tuberculosis bacteria in a sample. Find the number of cells in the sample at 3:45 p.m. Round to the nearest whole number. There are about cells at 3:45.
Expert Solution
Step 1

Given : The number of cells in the sample is given by,

=> N(t) = ae0.166 t 

where N(t) = number of cells at any time t

a = number of cells initially 

And t = time in hours.

 

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