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How Do I Get This Question Started?A strain of bacteria is placed into a nutrient broth at 30° Celsius and allowed to grow. The data
shown in the table are collected. The population is measured in grams and the time in hours.
Since population P depends on time t and each input corresponds to exactly one output, we
can say that population is a function of time; so P(t) represents the population at time t. Time
(hours), t                                 Population
(grams), P 0                                                         0.08 2.5                                                      0.19 3.5                                                      0.344.5                                                      0.37 6                                                         0.60 (a) Find the average rate of change of the population from 0 to 2.5 hours. (b) Find the average rate of change of the population from 3.5 to 6 hours. (c) What was happening to the average rate of change as time passes?

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