Q Zo Q Zoom in Highlight mode out ding ler Magni fier Review later 8. Newton's Law of Cooling is used to model the temperature of an object placed in an environment of a different temperature. The temperature of the object t minutes after being placed in the new environment is modeled by the formula: T(t) = T. + (T. – T.) · e ki where: T(t) is the temperature of the object after a time of t minutes has elapsed T, is the ambient temperature (temperature surrounding the object) T, is the initial temperature of the object k is the decay constant A pot of coffee is heated to 90° Celsius. A cup of coffee is poured into a mug and taken outside where the temperature is 18° Celsius. After two minutes, the temperature of the cup of coffee is approximately 65° Celsius. a) Determine algebraically the value of the decay constant, k, to the nearest thousandth.

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