Question

A coroner arrives on the scene of a homicide at 8:00 pm in a temperature-controlled room, held at 60^\circ F60 ∘ F. The temperature of the body is given by the function T(t)=27.4e^{-0.08t}+60T(t)=27.4e −0.08t +60, where tt is time in minutes since 8:00 pm.

1. Graph this function in an appropriate window and sketch below. (Please write and show the graph)

2. What happens to this function as time goes by? Why does this make sense?

3. Use the graph to approximate the time of death, assuming that normal body temperature is 98.6^\circ F98.6 ∘ F.

Answer 1