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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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