N(T) = 107² - 20T + 500, 1 ≤ T ≤ 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) = 4t+ 2, 0≤t≤ 6 where t is the time in hours. (a) Find (N. T)(t). (N. T)(t) = 0≤t≤6 Interpret (NT)(t). O This represents the rate at which the temperature of the food is changing as a function of time. This represents the rate at which the number of bacteria in the food is increasing as a function of time. This represents the increase in the number of bacteria in the food from time t to t + 1. This represents the number of bacteria in the food as a function of time. (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.) t= hr

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