A roasted turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 53°F

(a) If the temperature of the turkey is 150°F after half an hour, what is its temperature after 45 min? (Round your answer to the nearest whole number.)

(b) When will the turkey cool to 100°F? (Round your answer to the nearest whole number.)

3 answers

assuming steady change in temperature, since it changed -35deg/30min, so after m minutes,

T(m) = 185 - 7/6 m
T(45) = 185 - 7/6 * 45 = 132.5

100 = 185 - 7/6 m
m = 73 min

This is a nice exercise, but the real formula for temperature change is not quite so simple.
where did you ge the 7/6?
the temperature dropped 35 deg in 30 min = 35/30 deg/min = 7/6 deg/min