A culture of bacteria has a population of 150 cells when it is first observed. T

Question

A culture of bacteria has a population of 150 cells when it is first observed. The population doubles every 12 hr. which means its population is governed by the function p(t) = 150 times 2t/12, where t is the number of hours after the first observation. Verify that p(0) =150 as claimed Show that the population doubles every 12 hr. as claimed What is the population 4 days after the first observation? How long does it take for the population to triple in size? How long does it take the population to reach 10,000?

Explanation / Answer

p(t)=150x2^t/12 p(0)=150

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