A hot bowl of soup is served at a dinner party, and it starts to cool according to Newton's Law of Cooling. The ambient temperature of the room is 68°. The soup's temperature is 190° after 3 minutes and 156° after 10 minutes. a.) Find a function that models the temperature of the soup as a function of time t. Round any constants to the nearest .0001, if necessary. b.) What is the temperature of the soup after 15 minutes? Round to the nearest .01°. c.) How long after serving will the temperature of the soup be 120°? Round answer to the nearest .0001 minute.
A hot bowl of soup is served at a dinner party, and it starts to cool according to Newton's Law of Cooling. The ambient temperature of the room is 68°. The soup's temperature is 190° after 3 minutes and 156° after 10 minutes. a.) Find a function that models the temperature of the soup as a function of time t. Round any constants to the nearest .0001, if necessary. b.) What is the temperature of the soup after 15 minutes? Round to the nearest .01°. c.) How long after serving will the temperature of the soup be 120°? Round answer to the nearest .0001 minute.
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Transcribed Image Text:A hot bowl of soup is served at a dinner party, and it starts to cool according to Newton's
Law of Cooling. The ambient temperature of the room is 68°. The soup's temperature is 190°
after 3 minutes and 156° after 10 minutes.
а.)
Find a function that models the temperature of the soup as a function of time t. Round any
constants to the nearest .0001, if necessary.
b.)
What is the temperature of the soup after 15 minutes? Round to the nearest .01°.
с.)
How long after serving will the temperature of the soup be 120°? Round answer to the
nearest .0001 minute.
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