A colony of bacteria grows at a rate proportional to the size of the its population P at time t (in minutes). There is sufficient food, no predators, and with zero death rate. The rate of population growth P satisfies fraction numerator d P over denominator d t end fraction equalskP for some positive constant k (in /minute) where the initial population P(0) = P subscript 0 = 39959 bacteria (with decimals allowed). If the population has doubled after 14 minutes, when will the population triple? Answer: _ minutes. (Use two decimal places for the answer, no units needed)
A colony of bacteria grows at a rate proportional to the size of the its population P at time t (in minutes). There is sufficient food, no predators, and with zero death rate. The rate of population growth P satisfies fraction numerator d P over denominator d t end fraction equalskP for some positive constant k (in /minute) where the initial population P(0) = P subscript 0 = 39959 bacteria (with decimals allowed). If the population has doubled after 14 minutes, when will the population triple? Answer: _ minutes. (Use two decimal places for the answer, no units needed)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A colony of bacteria grows at a rate proportional to the size of the its population P at time t (in minutes). There is sufficient food, no predators, and with zero death rate. The rate of population growth P satisfies fraction numerator d P over denominator d t end fraction equalskP for some positive constant k (in /minute) where the initial population P(0) = P subscript 0 = 39959 bacteria (with decimals allowed). If the population has doubled after 14 minutes, when will the population triple?
Answer: _ minutes. (Use two decimal places for the answer, no units needed)
Transcribed Image Text:A colony of bacteria grows at a rate proportional to the size of the its population P at time t (in minutes). There is sufficient food, no
dP
predators, and with zero death rate. The rate of population growth P satisfies = KP for some positive constant k (in /minute)
dt
0
where the initial population P(0) = P = 39959 bacteria (with decimals allowed). If the population has doubled after 14 minutes,
when will the population triple?
Answer:
minutes. (Use two decimal places for the answer, no units needed)
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