The spread of a highly contagious virus in a high school can be described by the logistic function   g(x)=43/1+6.40e^−0.36x   where x is the number of days after the virus is identified in the school and​ g(x) is the total number of people who are infected by the virus.   ​(a) How many students had the virus when it was first​ discovered? ​(b) Graph the function for 0≤x≤50. ​(c) Determine when the virus will infect 24 students. ​(d) According to this​ model, will the virus infection level off at any point in the​ future?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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The spread of a highly contagious virus in a high school can be described by the logistic function
 
g(x)=43/1+6.40e^−0.36x
 
where x is the number of days after the virus is identified in the school and​ g(x) is the total number of people who are infected by the virus.
 
​(a) How many students had the virus when it was first​ discovered?
​(b) Graph the function for
0≤x≤50.
​(c) Determine when the virus will infect
24 students.
​(d) According to this​ model, will the virus infection level off at any point in the​ future?
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