Determine the temperature of a body hours after death

Overview

Forensic scientists determine the temperature T (in°C)

of a body t hours after death from the equation

pper T equals Upper T 0 plus left parenthesis 37 minus Upper T 0 right parenthesis 0.97 Superscript tT=T0+37−T00.97t,

where

Upper T 0T0

is the air temperature. If a body is discovered at noon with a body temperature of

2525degrees°C

in a room at

1616degrees°C,

at what time did death occur?