Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
-A thermometer reading $84 ^ { \circ } \mathrm { F }$ is placed inside a cold storage room with a constant temperature of $38 ^ { \circ } \mathrm { F }$ . If the thermometer reads $77 ^ { \circ } \mathrm { F }$ in 11 minutes, how long before it reaches $56 ^ { \circ } \mathrm { F }$ ? Assume the cooling follows Newton's L 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