document.write( "Question 1075882: The half-life of ibuprofen is about 1.8 hours. Here is the function to model the amount of ibuprofen remaining after t hours. The amount of ibuprofen taken is a.\r
\n" ); document.write( "\n" ); document.write( " y\:=\:a\left(0.5\right)^{\frac{t}{1.8}}\r
\n" ); document.write( "\n" ); document.write( " If 800mg are taken, how many milligrams remain in your system after 6 hours? Round to the nearest tenth. \n" ); document.write( "

Algebra.Com's Answer #690549 by jorel1380(3719) $\"\"$ $\"About$

You can put this solution on YOUR website!
If the half life of ibuprofen is 1.8 hours, then half of the original amount is present after that time. So, after 6 hours you have:
\n" ); document.write( "ln V=800 x (.5)^6/1.8
\n" ); document.write( "ln V=ln (800 x (.5)^3.33333)=ln 800 + ln (.5)^3.33333
\n" ); document.write( "ln V=ln 800 + 3.33333 ln 0.5=4.3741211258014429315635722024471
\n" ); document.write( "V=e^4.3741211258014429315635722024471=79.3700 mg of ibuprofen left after 6 hours. ☺☺☺☺ \n" ); document.write( "

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