This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time t is given by T(t) = 61+138e-0.05t where t is measured in minutes and 7 is measured in °F. (a) What is the initial temperature of the soup? °F (b) What is the temperature after 10 min? (Round your answer to one decimal place.) °F (c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.) min

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 31PT: A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina...
Question
This exercise uses Newton's Law of Cooling.
A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time
t is given by
T(t) = 61+138e-0.05t
where t is measured in minutes and 7 is measured in °F.
(a) What is the initial temperature of the soup?
°F
(b) What is the temperature after 10 min? (Round your answer to one decimal place.)
°F
(c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.)
min
Transcribed Image Text:This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time t is given by T(t) = 61+138e-0.05t where t is measured in minutes and 7 is measured in °F. (a) What is the initial temperature of the soup? °F (b) What is the temperature after 10 min? (Round your answer to one decimal place.) °F (c) After how long will the temperature be 100°F? (Round your answer to the nearest whole number.) min
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