A coroner arrives on the scene of a homicide at 10PM in a temperature-controlled room, held at
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Question:
A coroner arrives on the scene of a homicide at 10PM in a temperature-controlled room, held at 70 degrees F. The temperature of the body is given by the funtion: T( t ) = 22.4e-0.0009t +70 where t is time in minutes since 10PM.
(a) Identify the Independent and Dependent variable:
(b) Sketch the graph of the function in an appropriate window, labeling axes and scale (use graphing calculator)
(c) What happens to this function as time goes by?
(d) Why does this make sense?
(e) What is the temperature of the body at 11PM? 3AM?
(d) Use the graph to approximate the time of death, assuming that normal body temperature is 98.6 degrees F.
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