After heating up in a teapot, a cup of hot water is poured at a temperature of 209°F sits to cool in a room at a temperature of 68°F. Newton's Law of Cooling The cup explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below: ーkt T = Ta+ (To- Ta)e %3D Т. the temperature surrounding the object To =the initial temperature of the object t = the time in minutes T = the temperature of the object after t minutes decay constant %3D k = The cup of water reaches the temperature of 185 F after 1.5 minutes. Using this information, find the value of k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

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