document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320171>Question 320171</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this word problem: A town census shows population of 2400 in 1980 and 3600 in 1990. If the exponential rate of population increase continues, what will be the population in 2010?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229282 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=229282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A town census shows population of 2400 in 1980 and 3600 in 1990. If the exponential rate of population increase continues, what will be the population in 2010?\r<BR>\n" );
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document.write( "A town census shows population of 2400 in 1980 and 3600 in 1990. If the exponential rate of population increase continues, what will be the population in 2010?<BR>\n" );
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document.write( "You have two points: (0,2400) and (10,3600) where x is # of years after 1980.<BR>\n" );
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document.write( "Form: y = ab^x<BR>\n" );
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document.write( "Using the 1st point you get:<BR>\n" );
document.write( "2400 = ab^0<BR>\n" );
document.write( "2400 = a<BR>\n" );
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document.write( "Using that result and the 2nd point you get:<BR>\n" );
document.write( "3600 = 2400*b^10<BR>\n" );
document.write( "3/2 = b^10<BR>\n" );
document.write( "b = (1.5)^(1/10) = 1.0414<BR>\n" );
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document.write( "If the exponential rate of population increase continues, what will be the population in 2010?<BR>\n" );
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document.write( "y = 2400*(1.0414)^30<BR>\n" );
document.write( "y = 8100<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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