Jenny places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler. 0.028 t C (t)=9+11e Jenny wants to drink the water when it reaches a temperature of 14 degrees Celsius. How many minutes should she leave it in the cooler? Round your answer to the nearest tenth, and do not round any intermediate computations. minutes

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.2: Applied Problems
Problem 37E
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Jenny places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following function,
where t is the number of minutes since the bottle was placed in the cooler.
C (t)= 9+11e– 0.028 t
Jenny wants to drink the water when it reaches a temperature of 14 degrees Celsius. How many minutes should she leave it in the cooler?
Round your answer to the nearest tenth, and do not round any intermediate computations.
minutes
Transcribed Image Text:Jenny places a bottle of water inside a cooler. As the water cools, its temperature C (t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler. C (t)= 9+11e– 0.028 t Jenny wants to drink the water when it reaches a temperature of 14 degrees Celsius. How many minutes should she leave it in the cooler? Round your answer to the nearest tenth, and do not round any intermediate computations. minutes
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