SOLUTION: A An infectious strain of bacteria increases in number at a relative growth rate of 210 percent per hour. (The relative growth rate is, when written as a decimal, the value of r in

Question 1185982: A An infectious strain of bacteria increases in number at a relative growth rate of 210 percent per hour. (The relative growth rate is, when written as a decimal, the value of r in the formula P(t) = Ae^{rt} .) 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 take for the critical level to be reached if the same person is infected with 10 bacteria?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
P(t)=Ae^2.1t
P(t, A=1)=1e^50.4
p(t, a=10)=10e^2.1t
e^50.4=10e^2.1t
ln both sides
50.4=ln10+2.1t
t=22.90 hours

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