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

Multiple Choice

Solve the problem.
-A thermometer reading 84°F is placed inside a cold storage room with a constant temperature of 38°F. If the thermometer reads 77°F in 11 minutes, how long before it reaches 56°F? 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 whole minute.)

A) -20 minutes
B) 22 minutes
C) 4 minutes
D) 63 minutes