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Question 436887: you study the effects of a bacteria in human patients. you find that after the bacteria enters a patient's body its population grows at a rate of 70% a day. A patient feels sick when the number of bacteria exceeds 60,000.? The patient requires hospitalization when the population exceeds 500,000.? How much time will elapse between the time when the patient feels sick and needs hospitalization? (inhours)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! you study the effects of a bacteria in human patients. you find that after the bacteria enters a patient's body its population grows at a rate of 70% a day.
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A patient feels sick when the number of bacteria exceeds 60,000.?
The patient requires hospitalization when the population exceeds 500,000.?
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How much time will elapse between the time when the patient feels sick and needs hospitalization? (inhours)
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Equation:
500,000 = 60,000*(1+0.7)^t
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25/3 = 1.7^t
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Take the log of both sides to solve for "t":
t*log(1.7) = log(25/3)
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t = log(25/3)/log(1.7)
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t = 3.9958 hrs = 3hr + 0.9958(60)minutes
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t = 4 hrs. when rounded slightly
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Cheers,
Stan H.
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