This exercise uses the population growth model. It is observed that a certain bacteria culture has a relative growth rate of 13% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 27. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 13%.   (b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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This exercise uses the population growth model.

It is observed that a certain bacteria culture has a relative growth rate of 13% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 27. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.)

(a) No antibiotic is present, so the relative growth rate is 13%.
 

(b) An antibiotic is present in the culture, so the relative growth rate is reduced to 5%.

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