The number of bacteria in a culture increases rapidly. The table below gives the number  N(t) of bacteria at a few times  t (in hours) after the moment when  N=1000 . Time  t (hours) Number of bacteria  Nt 0 1000 3.1 1589 6.2 2612 12.4 4100 15.5 6425   (a) Find the average rate of change for the number of bacteria from 0 hours to 6.2 hours. bacteria per hour (b) Find the average rate of change for the number of bacteria from 12.4 hours to 15.5 hours. bacteria per hour

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Exponential Growth Model

The relation that represents an exponential function is: