# Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature

###### Question:

Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. so the rate of cooling for a bottle of lemonade at a room temperature of 75°f which is placed into a refrigerator with temperature of 38°f can be modeled by dt/dt=k(t-38) where t(t) is the temperature of the lemonade after t minutes and t(0) = 75. after 30 minutes the lemonade has cooled to 60°f, so t(30) = 60.
to the nearest degree, what is the temperature of the lemonade after an additional 30 minutes?

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