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A cup of coffee has a temperature of 200F. It is placed in a room that...

A cup of coffee has a temperature of 200F. It is placed in a room that has temperature 70 F. After 15 minutes, the temperature of the coffee is 150F.
a) Model the temperature of the cup of coffee at time t.
b) How long will it take for the coffee to cool down to 100◦ F?
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