The number of bacteria in a culture begins with approximately 10,000 organisms at the start of an experiment. If the bacteria doubles every 3 hr, the model P(t) = 10,000e 0.231t represents
the population P(t) after t hours.
a. Write a function to model the amount of time it would be required to grow the model
to a population of 4.5 million.
b. Determine the amount of time required for the population to grow to 4.5 million. Round
to the nearest hour.