A strain of bacteria is placed into a nutrient broth at 30° Time (hr), t Population (g), P C and allowed to grow. The data shown to the right 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 say that population is a function of time; so P(t) represents the population at time t. 0.02 3.5 0.13 4.5 0.28 5.5 0.35 0.52 (a) Find the average rate of change of the population from 0 to 3.5 hours. On average, the population is increasing at a rate of gram per hour from 0 to 3.5 hours. (Round to 3 decimal places as needed.)

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