document.write( "Question 1140209: A bottle of soda at room temperature (72 F) is placed in a refrigerator where the temperature is 44 F. After half an hour, the soda has cooled to 61 F. What is the temperature of the soda after another half hour? \n" ); document.write( "
Algebra.Com's Answer #760970 by greenestamps(13209)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "I don't know why anyone would say that the temperature of the soda will continue to cool by 11 degrees per hour, when the temperature of the refrigerator is 44 degrees....

\n" ); document.write( "Newton's law of cooling says that the rate of cooling is proportional to the difference between the two temperatures.

\n" ); document.write( "Initially, the difference between the temperatures of the soda and refrigerator was 28 degrees.

\n" ); document.write( "In the first half hour, the temperature of the soda decreased from 72 to 61 degrees, a decrease of 11 degrees.

\n" ); document.write( "This means that from the beginning to the end of each half hour, the temperature will decrease by 11/28 of the difference between the two temperatures at the beginning of the half hour.

\n" ); document.write( "Take the difference between the temperatures of the soda and the refrigerator at the beginning of the second half hour and multiply it by 11/28. That will give you the amount of cooling in the second half hour; subtract that from the temperature at the beginning of the second half hour to find the temperature of the soda at the end of the second half hour.

\n" ); document.write( "You will get the answer shown by the other tutor.
\n" ); document.write( "
\n" );