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Newton's law of cooling indicates the temperature of an object and can be described by the function where S is the surrounding temperature, D is the difference between the initial temperature and the surrounding temperature, t is the time elapsed, and k is the cooling constant. If tea is served at 200 degrees and cools to 150 degrees in 10 minutes, what is the value of the cooling constant?

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Newton's law of cooling indicates the temperature of an object and can be described by the function<br><img src='https://www.fatskills.com/images2/GradExams/F47BD8A8-30EA-4FE7-B9A5-BE01567A2935.png' height='23' width='149'/> where S is the surrounding temperature, D is the difference between the initial temperature and the surrounding temperature, t is the time elapsed, and k is the cooling constant. If tea is served at 200 degrees and cools to 150 degrees in 10 minutes, what is the value of the cooling constant?






 
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