document.write( "Question 823813: A cup of coffee contains 130 mg of caffeine. If caffeine is eliminated from the body at a rate of 11% per hour, how much caffeine will remain in the body after 3 hours?
\n" ); document.write( " whats the exponential function and answer? \n" ); document.write( "
Algebra.Com's Answer #495818 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "y(t) = a*e^(kt)
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\n" ); document.write( "now:
\n" ); document.write( "130 mg
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\n" ); document.write( "one hour from intake:
\n" ); document.write( "130 * (1 - 0.11) = 115.7 mg
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\n" ); document.write( "y(1) = 115.7 = 130*e^(k(1))
\n" ); document.write( "115.7 = 130*e^k
\n" ); document.write( "115.7/130 = e^k
\n" ); document.write( "ln( 115.7/130 ) = ln( e^k )
\n" ); document.write( "ln( 115.7/130 ) = k
\n" ); document.write( "k = -0.1165338
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\n" ); document.write( "three hours from intake:
\n" ); document.write( "y(3) = 130*e^(3k)
\n" ); document.write( "y(3) = 91.64597
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\n" ); document.write( "answer:
\n" ); document.write( "three hours after drinking a cup of coffee, 91.6 mg of caffeine will remain in the body
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