A cup of coffee is poured from a hot pot into a cold mug. The temperature, y in degree F, of the coffee after time, t in minutes, is modeled by: y = 65(.94)t + 70
a. What is the initial temperature of the coffee?
b. What is the temperature of the room?
c. The coffee will scold your mouth at 115 oF. How long do you have to wait alter pouring the coffee to drink it without being scolded?
d. What is the temperature of the coffee when it is cooling down at a rate of 1 oF/m?
e. How fast is the coffee cooling down when its temperature reaches body temperature (98.6 oF)?