SOLUTION: Consider the growth of the following virus. A new virus has been created and is distributed to 100 computers in a company via a corporate email. From these workstations the virus c

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Question 1143544: Consider the growth of the following virus. A new virus has been created and is distributed to 100 computers in a company via a corporate email. From these workstations the virus continues to spread. Let t=0 be the time of the first 100 infections, and t=17 minutes the population of infected computers grows to 200. Assume the anti-virus to grow exponentially.
What will the population of the infected computers be after 1 hour ?
What will the population be after 1 hour and 30 minutes?
What will the population be after a full 24 hours ?

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


Obviously it is the virus, and not some anti-virus, that is spreading exponentially, since nothing is said anywhere else in your statement of the problem about an anti-virus.

The doubling time is 17 minutes, so the population of infected computers is



where t is the number of minutes after the start.

1 hour (60 minutes):
1 hour 30 minutes (90 minutes):
24 hours (1440 minutes):

You can do the calculations.

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