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In: Advanced Math
Exponential Functions Computer viruses have cost U.S. companies billions of dollars in damages and lost revenues...
Exponential Functions
Computer viruses have cost U.S. companies billions of dollars in damages and lost revenues over the last few years. One factor that makes computer viruses so devastating is the rate at which they spread. A virus can potentially spread across the world in a matter of hours depending on its characteristics and whom it attacks.
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 be the time of the first 100 infections, and at minutes the population of infected computers grows to 200. Assume the anti-virus companies are not able to identify the virus or slow its progress for 24 hours, allowing the virus to grow exponentially.
- What will the population of the infected computers be after 1 hour?
- What will the population be after 1 hour 30 minutes?
- What will the population be after a full 24 hours?
Suppose another virus is developed and released on the same 100 computers. This virus grows according to, where represents the number of hours from the time of introduction.
- What is the doubling time for this virus?
- How long will it take for the virus to infect 2000 computers, according to this model?
please help!
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Colby Messinger answered 1 year agoRelated Solutions
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