document.write( "Question 137122: The number of bacteria in a large sealed jar doubles every minute. An hour after the first bacteria was put into the jar and sealed in, the jar was full. When was it half full? \n" ); document.write( "

Algebra.Com's Answer #100382 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
The number of bacteria in a large sealed jar doubles every minute. An hour after the first bacteria was put into the jar and sealed in, the jar was full. When was it half full?
\n" ); document.write( ":
\n" ); document.write( "Let A = amt in the full jar (60 min)
\n" ); document.write( ":
\n" ); document.write( "A = 2^60
\n" ); document.write( "A = 1.153(10^18) which is several
\n" ); document.write( ":
\n" ); document.write( "Half of this amt should make the jar half full:
\n" ); document.write( ".5 * 1.153(10^18) = 5.765(10^17)
\n" ); document.write( ":
\n" ); document.write( "Let t = number of minutes
\n" ); document.write( "2^t = 5.765(10^17)
\n" ); document.write( ":
\n" ); document.write( "t*log(2) = log(5.765(10^17)
\n" ); document.write( ";
\n" ); document.write( ".301t = 17.7608
\n" ); document.write( "t = $\"17.7608%2F.301\"$
\n" ); document.write( "t = 59 min, which we should have known, since it doubles every minute!
\n" ); document.write( " \n" ); document.write( "

\n" );