document.write( "Question 1199264: After 5 hours an initial bacteria population of 100 members has increased in size to 500 members. Determine the exponential growth rate of the colony of bacteria. \n" ); document.write( "

Algebra.Com's Answer #833056 by ikleyn(52784) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "    B(t) = \r\n" );
document.write( "\r\n" );
document.write( "    500  = \r\n" );
document.write( "\r\n" );
document.write( "     = \r\n" );
document.write( "\r\n" );
document.write( "    5 = \r\n" );
document.write( "\r\n" );
document.write( "    ln(5) = \r\n" );
document.write( "\r\n" );
document.write( "    ln(5) = 5r\r\n" );
document.write( "\r\n" );
document.write( "    r =  = 0.3218875... = 0.3119   (rounded).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Exponential growth rate of the colony of bacteria is 0.3119 bacteria/hour.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );