After sitting on a shelf for a while, a can of soda at a room temperature (68°F) is placed inside a refrigerator and slowly cools. The temperature of the refrigerator is
36°F. Newton's Law of Cooling explains that the temperature of the can of soda will
decrease proportionally to the difference between the temperature of the can of soda
and the temperature of the refrigerator, as given by the formula below:
T=TA + (T. -T.)e-kt
T. = the temperature surrounding the object
To = the initial temperature of the object
t=the time in minutes
T the temperature of the object after t minutes
k = decay constant
The can of soda reaches the temperature of 58°F after 20 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the can of soda, to the nearest
degree, after 95 minutes.
Enter only the final temperature into the input box.