Exponential Functions

Computer viruses have cost U.S. companies billions of dollars indamages and lost revenues over the last few years. One factor thatmakes computer viruses so devastating is the rate at which theyspread. A virus can potentially spread across the world in a matterof hours depending on its characteristics and whom it attacks.

Consider the growth of the following virus. A new virus has beencreated and is distributed to 100 computers in a company via acorporate email. From these workstations the virus continues tospread. Let  be the time of the first 100 infections, andat minutes the population of infected computers grows to200. Assume the anti-virus companies are not able toidentify the virus or slow its progress for 24 hours, allowing thevirus to grow exponentially.

1. What will the population of the infected computers beafter 1 hour?

1. What will the population be after 1 hour 30minutes?

1. What will the population be after a full 24hours?

Suppose another virus is developed and released on the same 100computers. This virus grows according to,where  represents the number of hours from the time ofintroduction.

1. What is the doubling time for this virus?

1. How long will it take for the virus to infect 2000computers, according to this model?

please help!