Starbucks serves coffee at 180 degreesnbspand room, Mathematics

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Starbucks serves coffee at 180 degreesnbspand room

Starbucks serves coffee at 180 degrees and room temperature in Starbucks is 75 degrees.

(a) If the coffee at time t = 0 (in minutes) has temperature 180, write down a differential equation for its temperature T(t) at time t > 0. Your equation will involve an unknown "k" that depends on the coffee.
(b) If the coffee is 120 after 10 minutes, how much additional time (from this moment) will it take for the temperature of the coffee to reach 100 degrees? Round your answer to the nearest tenth.

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