Solve the problem.
-A thermometer reading 33°F is brought into a room with a constant temperature of 80°F. If the thermometer reads 45°F after 4 minutes, what will it read after being in the room for 6 minutes? 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 two decimal places.)
A) 25.32°F
B) 71.98°F
C) 49.8°F
D) 110.2°F

Question

Quizplus · Accepted Answer

Using Newton's Law of Cooling, we first find the constant k using the given data, then calculate the temperature at 6 minutes.

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

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