Homicide algebra problem (help please)

Question

A coroner arrives on the scene of a homicide at 8:00 pm in a temperature-controlled room, held at 60 degrees F. The temperature of the body is given by the function 𝑇(𝑡) = 28.6𝑒^ -0.0008t + 60 where 𝑡 is time in minutes since 8:00 pm.

a. Graph this function in an appropriate window.

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

c.Use the graph to approximate the time of death, assuming that normal body temperature is 98.6 degrees F.

Answer 1

a. use graphic calculator or desmos for graph

b. As time goes by, the function -> 60.

c. Assume T(t) = 98.6 F, solve the equation, you will get a time before 8pm.