A pan of boiling water with a temperature of 212F is set in a bin of ice

Question:

A pan of boiling water with a temperature of 212°F is set in a bin of ice with a temperature of 32°F. The pan cools to 70°F in 30 minutes. 

(a) Find T0, D, and a so that T(1) = T0 + Dat models the data, where / is in hours. 

(b) Find the temperature of the pan after 10 minutes. 

(c) How long did it take the pan to reach 40°F? Support your result graphically.

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