document.write( "Question 1032283: 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.
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Algebra.Com's Answer #647013 by robertb(5830) $\"\"$ $\"About$

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The working equation given below is incorrect. It uses the equation $\"T%28t%29+=38%2B75%2A%2822%2F75%29%5E%28t%2F30%29\"$ , which is flawed. It should be $\"T%28t%29+=38%2B37%2A%2822%2F37%29%5E%28t%2F30%29\"$ , which actually takes into account the initial condition T(0) = 75. \n" ); document.write( "

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