Newton's law of cooling indicates that the temperature of a warm object, such as a cake coming out of the oven, will decrease exponentially with time and will approach the temperature of the surrounding air. the temperature t(t) is modeled by -kt t)-t (to t)e k. in this model, t, represents the temperature of the surrounding air, to represents the initial temperature of the object and t is the time (in minutes) 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 325 f and is placed on a cooling rack in a 76°f kitchen. after checking the temperature several minutes later, it is determined that the cooling rate k is 0.046. part 1 out of 3 a. write a function that models the temperature t(r) (in 'f) of the cake 1 minutes after being removed from the oven. the model for the temperature of the cake is t)