Solve the Problem $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

Short Answer

Solve the problem.
-A fully cooked turkey is taken out of an oven set at 200°C (Celsius) and placed in a sink of chilled water of
temperature 4°C. After 3 minutes, the temperature of the turkey is measured to be 50°C. How long (to the
nearest minute) will it take for the temperature of the turkey to reach 15°C? Assume the cooling follows Newton's
Law of Cooling: $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$ (Round your answer to the nearest minute.)