SOLUTION: Problem: An administrator of a popular web site is told that a new server can handle 41,000 "hits" per second. The web site currently experiences a peak demand of about 105,000 hit

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Question 148563: Problem: An administrator of a popular web site is told that a new server can handle 41,000 "hits" per second. The web site currently experiences a peak demand of about 105,000 hits per second; but every month, the peak demand increases by 2800 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 24 months.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: An administrator of a popular web site is told that a new server can handle 41,000 "hits" per second. The web site currently experiences a peak demand of about 105,000 hits per second; but every month, the peak demand increases by 2800 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 24 months.
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The function is linear, not proportional.
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slope = 2800 hit/month
Intercept = 105,000
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N(x) = 2800x + 105000
N(24) = 2800*24 + 105000
N(24) = 67200 + 105000
N(24) = 172200 bits/second
172200/41000 = 4.2 ; rounding up gives 5
(5 is the # of servers he will need in 24 months)
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Cheers,
Stan H.