After sitting on a shelf for a while, a can of soda at a room temperature (72°F) isplaced inside a refrigerator and slowly cools. The temperature of the refrigerator is39°F. Newton's Law of Cooling explains that the temperature of the can of soda willdecrease proportionally to the difference between the temperature of the can of sodaand the temperature of the refrigerator, as given by the formula below:T = Ta + (To – Ta)e-ktthe temperature surrounding the objectToTo = the initial temperature of the objectt = the time in minutesT = the temperature of the object after t minutesk = decay constantThe can of soda reaches the temperature of 54°F after 2o minutes. Using thisinformation, find the value of k, to the nearest thousandth. Use the resultingequation to determine the Fahrenheit temperature of the can of soda, to the nearestdegree, after 100 minutes.Enter only the final temperature into the input box.

Name: After sitting on a shelf for a while, a can of soda at a room tempera
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: After sitting on a shelf for a while, a can of soda at a room temperature (72°F) isplaced inside a refrigerator and slowly cools. The temperature of the refrigerator is39°F. Newton's Law of Cooling explains that the temperature of the can of soda wi