document.write( "Question 664121: if someone could help me that would be great! =)\r
\n" ); document.write( "\n" ); document.write( "the population of a bacteria colony starts at 100 & grows by 28% per hr.
\n" ); document.write( "a) find a formula for the number of bacteria P after t hrs
\n" ); document.write( "b) what is the doubling time for this population so how long does it take the population to double in size
\n" ); document.write( "c) what is the continuous growth rate of the colony\r
\n" ); document.write( "\n" ); document.write( "thank you idk where to start....
\n" ); document.write( "

Algebra.Com's Answer #413129 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
the population of a bacteria colony starts at 100 & grows by 28% per hr.
\n" ); document.write( "After each hour, it's 1.28 times what it was.
\n" ); document.write( "-----
\n" ); document.write( "a) find a formula for the number of bacteria P after t hrs
\n" ); document.write( "P = 100*1.28^t, t in hours
\n" ); document.write( "-------------------
\n" ); document.write( "b) what is the doubling time for this population so how long does it take the population to double in size
\n" ); document.write( "200 = 100*1.28^t
\n" ); document.write( "1.28^t = 2
\n" ); document.write( "t*log(1.28) = log(2)
\n" ); document.write( "t = log(2)/log(1.28)
\n" ); document.write( "t =~ 2.808 hours
\n" ); document.write( "c) what is the continuous growth rate of the colony
\n" ); document.write( "
\n" ); document.write( "
\n" );