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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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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)ekt
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
decay constant
k =
NG
&
7
8
9
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)ekt 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 decay constant k = NG & 7 8 9 5
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.
Answer:
Submit Answer
attempt i out of 2
NG
&
8
9
Transcribed Image Text: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. Answer: Submit Answer attempt i out of 2 NG & 8 9
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