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.

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter32: Radiochemical Methods
Section: Chapter Questions
Problem 32.12QAP
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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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