A strain of bacteria is placed into a nutrient broth at 30 degrees Celsius and allowed to grow. The data shown below have been collected. The population is measured in grams and the times in hours. Since population P depends on time t and each input corresponds to exactly one output, we say that population is a function of time, so P(t) represents the population at time t.  Time (hr), t  Population (g), P  0 0.03 4.5 0.14 5.5 0.22 6.5 0.36 8 0.52 (a) Find the average rate of change of the population from 0 to 4.5 hours.  On average, the population is increasing at a rate of ___ grams per hour from 0.45 hours  (b) Find the average rate of change of the population from 6.5 to 8 hours.

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