A cup of tea is prepared in a preheated cup with hot water so that the temperature of both the cup and the brewing tea is initially 190 degree Fahrenheit. The cup is then left to cool in a room kept at a constant 72 degree Fahrenheit. Two minutes later, the temperature of the tea is 150 degree Fahrenheit. Determine the time required for the tea to reach 100 degree Fahrenheit.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 17TI: A pitcher of water at 40 degrees Fahrenheit is placed into a 70 degree room. One hour later, the...
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A cup of tea is prepared in a preheated cup with hot
water so that the temperature of both the cup and the
brewing tea is initially 190 degree Fahrenheit. The cup
is then left to cool in a room kept at a constant 72
degree Fahrenheit. Two minutes later, the temperature
of the tea is 150 degree Fahrenheit. Determine the
time required for the tea to reach 100 degree
Fahrenheit.
Select the correct response:
5.69 min.
6.95 min.
9.65 min.
6.59 min.
Transcribed Image Text:A cup of tea is prepared in a preheated cup with hot water so that the temperature of both the cup and the brewing tea is initially 190 degree Fahrenheit. The cup is then left to cool in a room kept at a constant 72 degree Fahrenheit. Two minutes later, the temperature of the tea is 150 degree Fahrenheit. Determine the time required for the tea to reach 100 degree Fahrenheit. Select the correct response: 5.69 min. 6.95 min. 9.65 min. 6.59 min.
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