12. A pot of boiling soup with an internal temperature of 100° Fahrenheit (F) was taken off the stove to cool in a 70° F room. After fifteen minutes, the internal temperature of the soup was 95° F. (a) Use Newton's Law of Cooling to write a formula that models this situation. (b) To the nearest degree, what will the temperature be after one hour? (c) To the nearest minute, how long will it take the soup to cool to 75° F?

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12. A pot of boiling soup with an internal temperature of 100° Fahrenheit (F) was taken off the stove to
cool in a 70° F room. After fifteen minutes, the internal temperature of the soup was 95° F.
(a) Use Newton's Law of Cooling to write a formula that models this situation.
(b) To the nearest degree, what will the temperature be after one hour?
(c) To the nearest minute, how long will it take the soup to cool to 75° F?
Transcribed Image Text:12. A pot of boiling soup with an internal temperature of 100° Fahrenheit (F) was taken off the stove to cool in a 70° F room. After fifteen minutes, the internal temperature of the soup was 95° F. (a) Use Newton's Law of Cooling to write a formula that models this situation. (b) To the nearest degree, what will the temperature be after one hour? (c) To the nearest minute, how long will it take the soup to cool to 75° F?
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