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 0.7 0,76 0.80 0.85 15.6 0.79 0.87 0.94 1.02 1.09 Air temp. ("C) 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 136-kg pig when the temperature is 26.7.C. kg/day (b) Find the function for the linear model that gives the average daily weight gain/loss of a pig in kg/day when the air temperature is 10.0 C, where k is the pig's weight in kg, with data from 68 s k s 156. (Round all numerical values to four decimal places.) g(k, 10.0) = kg/day (c) Find and interpret the rate of change of the average daily weight gain/loss of a pig when the air temperature is 10.0C with respect to the pig's weight when the mean live weight is 113 kg. (Round your answers to four decimal places.) kg/day per kg A pig whose mean live weight is 113 kg when the air temperature is 10.0 C ---Select-- |on average kg/day per kg