Newton's law of cooling indicates that the temperature of a warm object will decrease exponentially with time and will approach the temperature of the surrounding air. The temperatureT(t) is modeled byT(t)=Ta+(T0-Ta)e-kt. In this model,Tarepresents the temperature of the surrounding air,T0represents the initial temperature of the object andtis the time after the object starts cooling. The value ofkis the cooling rate and is a constant related to the physical properties of the object.

Solve the problem. Newton's law of cooling indicates that the temperature of a warm object will decrease exponentially with time and will approach the temperature of the surrounding air. The temperature T(t) is modeled by T(t) = Ta + (T0 ray-"t. In this model, Ta represents the temperature of the surrounding air, To represents the initial temperature of the object and t is the time after the object starts cooling. The value of k is the cooling rate and is a constant related to the physical properties of the object. A cake comes out of the oven at 335F and is placed on a cooling rack in a 70F kitchen. After checking the temperature several minutes later, it is determined that the cooling rate k is 0.050. Write a function that models the temperature T (t) (in F) of the cake 1' minutes after being removed from the oven. Select one: .5: a. T(t) = 70 + 335.30350t .55 b. T(t) = 335 + 70e0-050' r5 0. T(t) = 70 + 265e0-\"50' e a. T(t) = 70 + 265e-0-050t