After sitting out of a refrigerator for a while, a turkey at room temperature (72° F) is placed into an oven. The oven temperature is 345° F. Newton's Law of Heating

explains that the temperature of the turkey will increase proportionally to the

difference between the temperature of the turkey and the temperature of the oven, as

given by the formula below:

T = T. + (T. - T.)e-kt

T. the temperature surrounding the object

To = the initial temperature of the object

t = the time in hours

T the temperature of the object after t hours

k = decay constant

The turkey reaches the temperature of 111°F after 2.5 hours. Using this

information, find the value of k, to the nearest thousandth. Use the resulting

equation to determine the Fahrenheit temperature of the turkey, to the nearest

degree, after 5.5 hours.

Enter only the final temperature into the input box.