Consider the spreading of Covid-19 in a company of 200 employees. 10% of the employees have comorbidities and are more likely to have severe illness from Covid-19. Assume the virus spreads only during work lunch breaks and the increase in the number of employees infected is proportional to the current number of employees infected and also proportional to the current number of employees without Covid-19. Let a, be the number of employees infected after n lunch breaks. Let k be the proportionality constant. Which is the following equations is a possible model for the above scenario? an-1 = an + kan (20 - a,) an-1 = an + kan+1 (200 - an-1) an-1 = an + ka- an+1 = ka, (20 - an) None of the above

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 1EQ: 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed...
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Consider the spreading of Covid-19 in a company of 200 employees. 10 % of the employees have comorbidities and are more likely to have severe illness
from Covid-19. Assume the virus spreads only during work lunch breaks and the increase in the number of employees infected is proportional to the
current number of employees infected and also proportional to the current number of employees without Covid-19.
Let an be the number of employees infected after n lunch breaks. Letk be the proportionality constant.
Which is the following equations is a possible model for the above scenario?
an-1= an + kan (20 - a,)
an-1=an + kan-1 (200- a-1)
an-1 = an + ka-
an-1
ka, (20- an)
None of the above
Transcribed Image Text:Consider the spreading of Covid-19 in a company of 200 employees. 10 % of the employees have comorbidities and are more likely to have severe illness from Covid-19. Assume the virus spreads only during work lunch breaks and the increase in the number of employees infected is proportional to the current number of employees infected and also proportional to the current number of employees without Covid-19. Let an be the number of employees infected after n lunch breaks. Letk be the proportionality constant. Which is the following equations is a possible model for the above scenario? an-1= an + kan (20 - a,) an-1=an + kan-1 (200- a-1) an-1 = an + ka- an-1 ka, (20- an) None of the above
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