document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958835>Question 958835</A>: <I><SPAN STYLE=\"word-break: break-all;\"> suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2500 bacteria selected from the population reached the size of 2770 bacteria in 4 hours. find the hourly growth rate parameter  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586012 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=586012\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. a sample of 2500 bacteria selected from the population reached the size of 2770 bacteria in 4 hours. find the hourly growth rate parameter <BR>\n" );
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document.write( "y = a*b^t<BR>\n" );
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document.write( "2770 = 2500*b^4<BR>\n" );
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document.write( "b^4 = 1.108<BR>\n" );
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document.write( "b = 1.2597<BR>\n" );
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document.write( "y = 2500*(1.2597)^t<BR>\n" );
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document.write( "Growth rate: # of bacteria increases at the rate of 26% per hour<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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