7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is set to the F.D.A. recommended temperature of 35 degrees Fahrenheit. After 15 minutes the temperature of the soda is 48 degrees Fahrenheit. Assuming, that the can cools according to Newton's law of cooling answer the following. a) What is the differential equation that models this problem? b) After how long will the soda be 40 degrees Fahrenheit?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is
set to the F.D.A. recommended temperature of 35 degrees Fahrenheit. After 15 minutes the
temperature of the soda is 48 degrees Fahrenheit. Assuming, that the can cools according to
Newton's law of cooling answer the following.
a) What is the differential equation that models this problem?
b) After how long will the soda be 40 degrees Fahrenheit?
Transcribed Image Text:7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is set to the F.D.A. recommended temperature of 35 degrees Fahrenheit. After 15 minutes the temperature of the soda is 48 degrees Fahrenheit. Assuming, that the can cools according to Newton's law of cooling answer the following. a) What is the differential equation that models this problem? b) After how long will the soda be 40 degrees Fahrenheit?
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