The table shows g(k, t) weight gain/loss of a pig.t Average Daily Weight Gain/Loss for a Pig (kg/day) Mean live weight (kg) 68 91 113 136 156 4.4 0.58 0.54 0.50 0.46 0.43 10.0 0.67 0.71 0.76 0.80 0.85 15.6 0.79 0.87 0.94 1.02 1.09 21.1 0.98 1.01 0.97 0.93 0.90 26.7 0.83 0.76 0.68 0.62 0.55 32.2 0.52 0.40 0.28 0.16 0.05 37.8 -0.09 -0.35 -0.62 -0.88 -1.15 (a) What is the average daily weight gain/loss for a 91-kg pig when the temperature is 21.1°C? kg/day (b) Find the function for the cubic model that gives the average daily weight gain/loss of a pig in kg/day for a pig weighing 113 kg, where t°C is the air temperature, with data from 4.4 sts 37.8. (Round all numerical values to five decimal places.) g(113, t) = kg/day (c) What does the behavior of a graph of the model in part (b) indicate about the weight gain of a pig? OA pig's weight gain is greatest when the air temperature is cold. A pig's weight gain is greatest when the air temperature is moderate. A pig's weight gain is greatest when the air temperature is warm. A pig's weight gain is the same in any air temperature. Air temp. (°C)

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