Use Newton's Law of Cooling, T(t) = ae^kt +Ts, to work on the following Problem.

A roasted turkey is taken form an oven when its temperature has reached 215 Fahrenheit and is placed on a table in room where the temperature is 70 Fahrenheit.

If the temperature of the turkey is 150 Fahrenheit after half an hour, what is the function and what is its temperature after 45 minutes?

Round the value of K to 4 significant figures, and give answer to 2 decimal places.