The number N of bacteria in a refrigerated food is given by N(T) = 1072 - 207 + 700, 1 sTS 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 2t + 2, 0 sts 6 where t is the time in hours. (a) Find the composition (N. T)(t). (N. T)(t) = Osts6 Interpret its meaning in context. This represents the rate at which the number of bacteria in the food is increasing as a function of time. This represents the number of bacteria in the food as a function of time. This represents the rate at which the temperature of the food is changing as a function of time. This represents the increase in the number of bacteria in the food from time t to t + 1. (b) Find the bacteria count after 0.5 hour. (Round your answer to the nearest whole number.) N(T(0.5)) | bacteria (c) Find the time when the bacteria count reaches 1000. (Round your answer to three decimal places.) |hr

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