A formula for the rate of chnage in population of a colony of bacteria is given by $\displaystyle P=3200 + 400e^{kt}$ If the population doubles after 20 hours, how long will it take to triple the original population?
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Originally Posted by nerdzor A formula for the rate of chnage in population of a colony of bacteria is given by $\displaystyle P=3200 + 400e^{kt}$ If the population doubles after 20 hours, how long will it take to triple the original population? You are given that the population doubles after 20 hours: $\displaystyle 6400 = 3200 + 400e^{20k}$ Solve for k. Then plug k into your solution with the original amount tripled: $\displaystyle 9600 = 3200 + 400e^{kt}$ *Solve for t!
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