Write the Word or Phrase That Best Completes Each Statement $200 ^ { \circ } \mathrm { C }$

Short Answer

Write the word or phrase that best completes each statement or answers the question.
-A fully cooked turkey is taken out of an oven set at $200 ^ { \circ } \mathrm { C }$ (Celsius) and placed in a sink of chilled water of temperature $4 ^ { \circ } \mathrm { C }$ . After 3 minutes, the temperature of the turkey is measured to be $50 ^ { \circ } \mathrm { C }$ . How long (to the nearest minute) will it take for the temperature of the turkey to reach $15 ^ { \circ } \mathrm { C }$ ? Assume the cooling follows Newton 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.)