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 40 hours. How long (in hours) will it take for the critical level to be reached if the same person is infected with 12 bacteria? Select the correct answer. a. 78.76 h b. 42.48 h c. 41.24 h d. 37.52 h e. 38.76 h

Question
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 40 hours. How long (in hours) will it take for the
critical level to be reached if the same person is infected with 12 bacteria?
Select the correct answer.
a. 78.76 h
b. 42.48 h
c. 41.24 h
d. 37.52 h
e. 38.76 h
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Transcribed Image Text

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 40 hours. How long (in hours) will it take for the critical level to be reached if the same person is infected with 12 bacteria? Select the correct answer. a. 78.76 h b. 42.48 h c. 41.24 h d. 37.52 h e. 38.76 h