Just before midday the body of an apparent homicide victim is found in a room that is kept at a constant temperature of 70°F. At noon, the temperature of the body is 80°F, and at 1 p.m. it is 75 °F. Assuming that the temperature of the body at the time of death was 100°F an that it has cooled in accord with Newton’s Law of Cooling, dT/dt=k(A-T), where A is the room temperature, k is a positive constant, T is the temperature of the body, and t is time in hour. When did the homicide occur? Justify your answer.
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