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

Algebra ->  Exponential-and-logarithmic-functions -> 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      Log On


   

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) About Me  (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

100%282%5E%28t%2F17%29%29

where t is the number of minutes after the start.

1 hour (60 minutes): 100%282%5E%2860%2F17%29%29
1 hour 30 minutes (90 minutes): 100%282%5E%2890%2F17%29%29
24 hours (1440 minutes): 100%282%5E%281440%2F17%29%29

You can do the calculations.