Solve the problem.
-A thermometer reading 37°F is brought into a room with a constant temperature of 75°F. If the thermometer reads 45°F after 6 minutes, what will it read after being in the room for 9 minutes? Round your answer to two decimal places.
A)32.86°F
B)101.66°F
C)70.47°F
D)48.34°F

Question

Quizplus · Accepted Answer

Using Newton's Law of Cooling, we can calculate the temperature after 9 minutes. The formula is T(t) = T_room + (T_initial - T_room) * e^(-kt). Solving for k using the 6-minute reading, then applying it to the 9-minute mark gives approximately 48.34°F.

Solve the Problem. -A Thermometer Reading 37°F Is Brought into a Room with a Room