A strain of bacteria is placed into a nutrient broth at 30 [Time (hr), t Population (g), P 0.0 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 Pit) represents the population at time t. (a) Findthe 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. (FRound to 3 decimal places as needed.) (b} Find the average rate of change of the population from 5.5 to 7 hours. On average, the population is increasing at a rate of |:| gram per hour from 5.5 to 7 hours. (Round to 3 decimal places as needed.)