SOLUTION: 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 f

Question 1032278: 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?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
This is just a follow-up to the other problem.
After 30 minutes, the temperature was 60�F.
After an additional 30 minutes, the temperature is T(60).
The equation that was obtained previously was .
==> = 51�F, to the nearest degree.
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