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Skill check: Applications to other fields and related rates

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Problem

A bacteria culture starts with 2400 bacteria and its population growth is modeled by
P(t)=2400e0.03t
where P is the number of bacteria and t is time in minutes.
What is a formula for the rate of change of the bacteria population in terms of t?
To the nearest whole number, what is the rate of change in the population of the bacteria when t=10 minutes?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
bacteriaminute