Time of death newtons law of cooling problem!? HELP?

Question

this is a really annoying problem i've had and i've worked on it for weeks and still can't even find out how to do the problem!!!

it's a newton's law of cooling problem. i am given that the body was discovered at 1:00 AM. at 1:30 the temp was 32 celsius. at 2:30 it was 30 celsius, and at 3:30 it was 28.75 celsius. the temperature of the body when it was living is given at 37 celsius. newton's proportionality constant (k) is unknown, as is the surrounding temperature. how in the h**l do i find the time of death with this little informatioN?!?!?!

FRUSTRATED.

Answer 1

From the data you have, plot temperature as a function of time.  Fit the data to the functional form of Newton's cooling law, that will give you k.  Once you have k you can back calculate the time at which the temperature was 37 C.