T = Ta + (To – T.)e kt 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 |3D The can of soda reaches the temperature of 53°F after 35 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 70 minutes.
T = Ta + (To – T.)e kt 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 |3D The can of soda reaches the temperature of 53°F after 35 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 70 minutes.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Transcribed Image Text:After sitting on a shelf for a while, a can of soda at a room temperature (73°F)
is placed inside a refrigerator and slowly cools. The temperature of the
refrigerator is 35°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 + (To – T.)e kt
Ta =the temperature surrounding the object
To
the initial temperature of the object
t = the time in minutes
NG
7.
8
f
k
Transcribed Image Text:T = T, + (To – Ta)e kt
= the temperature surrounding the object
Ta
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 53°F after 35 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 70 minutes.
NG
24
&
8.
9.
4.
f
og
k
16
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