On a cold day (14 degrees F) the furnace in an empty house stops working. If it takes 5 hours for the temperature to drop from
72 degrees F to 61 degrees F then how many additional hours will it take to drop down to freezing temperature? Newton's Law of Cooling
says that the temperature, T(t), of the object at time t is given by T(t) = Ts + D0e^-kt where Ts is the temperature of the surroundings and D0 is the initial temperature difference between object and surroundings.

A) 18.3 hrs
B) 19.8 hrs
C) 21.3 hrs
D) 22.8 hrs
E) 24.3 hrs

Question

On a cold day (14 degrees F) the furnace in an empty house stops working. If it takes 5 hours for the temperature to drop from
72 degrees F to 61 degrees F then how many additional hours will it take to drop down to freezing temperature? Newton's Law of Cooling
says that the temperature, T(t), of the object at time t is given by T(t) = Ts + D0e^-kt where Ts is the temperature of the surroundings and D0 is the initial temperature difference between object and surroundings.

A) 18.3 hrs 
B) 19.8 hrs 
C) 21.3 hrs 
D) 22.8 hrs 
E) 24.3 hrs