Population model 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 · 2t/12, where t is the number of hours after the first observation.
a. Verify that p(0) = 150, as claimed.
b. Show that the population doubles every 12 hr, as claimed.
c. What is the population 4 days after the first observation?
d. How long does it take the population to triple in size?
e. How long does it take the population to reach 10,000?
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