I need help on this question

There has been a murder! Twisty the clown has killed your Calculus teacher. You found your teacher at 10:00am on campus in a room with the temperature at 72.2 degrees Fahrenheit. At 10:00am, the temperature of the teacher's body is 94.0 and then two hours later the temperature of the body is 88.7. a. Find the temperature of the body, T, as a function of time, t, in hours since it was found. Hint: The temperature difference is T - room temperature, so you will first setup a differential equation that you will have to solve for k. That is, -k (T - room temp ) - Also, notice the initial body temperature is the 10:00am temperature given. b. Then, you are told at the time of the murder, your Calculus teacher's body had the normal body temperature of 98.6 degrees Fahrenheit. When did the murder occur? Hint: You are solving for t by using the two hours later body temperature NOTE: Must show work of every step and convert final answer into hours and minutes to get the exact time the murder happened.&quot