Ta =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 turkey reaches the temperature of 49°F after 25 minutes. 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 115 minutes. Enter only the final temperature into the input box.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 7P
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Question
After sitting in a refrigerator for a while, a turkey at a temperature of 40°F is
placed on the counter and slowly warms closer to room temperature (73°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 room, as given by the formula below:
T = Ta + (To – Ta)e kt
Ta =the temperature surrounding the object
То
= the initial temperature of the object
t = the time in minutes
T= the temperature of the object aftert minutes
NE
$4
8.
9
7
4
e
k
5
Transcribed Image Text:After sitting in a refrigerator for a while, a turkey at a temperature of 40°F is placed on the counter and slowly warms closer to room temperature (73°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 room, as given by the formula below: T = Ta + (To – Ta)e kt Ta =the temperature surrounding the object То = the initial temperature of the object t = the time in minutes T= the temperature of the object aftert minutes NE $4 8. 9 7 4 e k 5
Ta
= the temperature surrounding the object
To
the initial temperature of the object
= the time in minutes
= the temperature of the object after t minutes
k = decay constant
The turkey reaches the temperature of 49°F after 25 minutes. 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 115 minutes.
Enter only the final temperature into the input box.
NC
8
9
7
6
t
Y u
Transcribed Image Text:Ta = the temperature surrounding the object To the initial temperature of the object = the time in minutes = the temperature of the object after t minutes k = decay constant The turkey reaches the temperature of 49°F after 25 minutes. 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 115 minutes. Enter only the final temperature into the input box. NC 8 9 7 6 t Y u
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