document.write( "Question 287911: how long does it take a naturally growing bacteria population to quadruple if it doubles in 6.82 hours? \n" ); document.write( "

Algebra.Com's Answer #208663 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
how long does it take a naturally growing bacteria population to quadruple
\n" ); document.write( " if it doubles in 6.82 hours?
\n" ); document.write( ":
\n" ); document.write( "The doubling time growth model
\n" ); document.write( " Ao*2^(t/d) = A
\n" ); document.write( "Where
\n" ); document.write( "A = resulting amt (4)
\n" ); document.write( "Ao = initial amt (1)
\n" ); document.write( "d = doubling time (6.82)
\n" ); document.write( "t = time
\n" ); document.write( ":
\n" ); document.write( "1*2^(t/6.82) = 4
\n" ); document.write( "We can write it:
\n" ); document.write( "2^(t/6.82) = 2^2
\n" ); document.write( "Base is equal, therefore the exponents are
\n" ); document.write( "t/6.82 = 2
\n" ); document.write( "t = 2 * 6.82
\n" ); document.write( "t = 13.64 hr to quadruple
\n" ); document.write( ":
\n" ); document.write( " \n" ); document.write( "

\n" );