A brilliant but twisted programmer writes a computer virus that spreads pretty q
ID: 3031923 • Letter: A
Question
A brilliant but twisted programmer writes a computer virus that spreads pretty quickly. When you get infected, it sends an email to all of your friends (from your computer) with the subject “i luv u.” Your friends, desperate for your love, open the email and get infected. So in some sense, this virus is not so much exploiting a vulnerability in computers as much as it is exploiting a vulnerability in the human condition. If the number of infected computers increases by 58% per day,
(a) How many computers will be infected in 14 days? ( round up your answers to the nearest integer)
Answer =
(b) What is the doubling time for the virus? (round your answer to 2 decimal places)
Answer = days
Explanation / Answer
a)
number of computer infected,
n (x) = (1.58)^x
where x is number of days
for x = 14
n = (1.58)^14
= 604
Answer: 604 computers
b)
for x=0, n=1
to become,n=2
2 = (1.58)^x
take ln on both sides
ln 2 = x*ln (1.58)
x = 1.52 days
Answer: 1.52 days
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