SOLUTION: An infectious strain of bacteria increases in number at a relative growth rate of 200% per hour. When a certain critical number of bacteria are present in the bloodstream, a pers

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Question 1030914: An infectious strain of bacteria increases in number at a relative growth rate of 200% per hour.
When a certain critical number of bacteria are present in the bloodstream, a person becomes ill.
If a single bacterium infects a person, the critical level is reached in 24 hours. How long will it
ake for the critical level to be reached if the same person is infected with 10 bacteria?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
200% growth is a factor of 3.
3^x=10
x=log10/log3
x=2.096
The person infected with 10 bacteria is 2.096 hours ahead of the person infected with one, and will be ill in 21.904 hours.