bacteria into what he has determined to be a favorable growth medium.  Write out the exponential growth equation with the known and unknown quantities for this problem.  After 7 hours, the colony contains 400 bacteria. What is the growth rate? What is the doubling time for this bacteria colony? If the derivative of A(t) = A0ert  is A'(t) = rA0ert , what is the instantenous rate of change at t = 7 hours to the avg rate of change over the time interval 0 < t < 7 .

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