document.write( "Question 151178: Story problem: A can of soda at 79 degrees F is placed in a refrigerator that maintains a constant temperature of 36 degrees F. The temperature T of the soda t minutes after it is placed in the refrigerator is given by T(t)=36+43e^-.058t.\r
\n" ); document.write( "\n" ); document.write( "Part a) Find the temperature to the nearest degree of the soda 10 minutes after it is placed in the refrigerator.\r
\n" ); document.write( "\n" ); document.write( "I substituted 10 into the equation and got 60 degrees F. I understand this part.\r
\n" ); document.write( "\n" ); document.write( "Part b) When, to the nearest minute, will the temperature of the soda be 45 degrees F? HELP! I think that you need to plug in equations to graph it but I don't know what to plug in. \r
\n" ); document.write( "\n" ); document.write( "Thanks,
\n" ); document.write( "Rose
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Algebra.Com's Answer #111079 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
You are correct on part a
\n" ); document.write( "Part b asks when the temp will be 45 degrees
\n" ); document.write( "Given\"T%28t%29=36%2B43e%5E%28-.058t%29\"
\n" ); document.write( "\"45=36%2B43e%5E%28-.058t%29\"
\n" ); document.write( "\"9+=+43e%5E%28-.058t%29\"
\n" ); document.write( "\"9%2F43+=+e%5E%28-.058t%29\"
\n" ); document.write( "\"0.209+=+e%5E%28-.058t%29\"
\n" ); document.write( "\"ln%280.209%29+=+ln%28e%5E%28-.058t%29%29\"
\n" ); document.write( "\"-1.565+=+-.058t\"
\n" ); document.write( "\"1.565%2F0.058+=+t\"
\n" ); document.write( "\"1.565%2F0.058+=+27\"\r
\n" ); document.write( "\n" ); document.write( "about 27 minutes later.\r
\n" ); document.write( "\n" ); document.write( "Check your answer by plugging 27 into the original equation
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