document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=790786>Question 790786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am enrolled in College Algebra, and I am faced with a problem involving Population, Specifically: \r<BR>\n" );
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document.write( "In 200, the population of Greece was 10,600,000, with projections of a population decrease of 28,000 people per year. In the same year, the population of Belgium was 10,200,000, with projections of a population decrease of 12,000 people per year. \r<BR>\n" );
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document.write( "This problem requires two solutions, and has to be solved algebraically, showing the equation used and work used to achieve the answers.\r<BR>\n" );
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document.write( "a) When will the two countries have the same population?<BR>\n" );
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document.write( "        Equation used:___________ & What year?\r<BR>\n" );
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document.write( "b) What will be the population at that time? &         Population size: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479308 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=479308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 200, the population of Greece was 10,600,000, with projections of a population decrease of 28,000 people per year.<BR>\n" );
document.write( " In the same year, the population of Belgium was 10,200,000, with projections of a population decrease of 12,000 people per year.<BR>\n" );
document.write( "This problem requires two solutions, and has to be solved algebraically, showing the equation used and work used to achieve the answers.<BR>\n" );
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document.write( "let t = the number of year for this to be true, from the year 2000 (not 200)<BR>\n" );
document.write( "Write an equation for each country<BR>\n" );
document.write( "Greece: f(t) = -28000t + 10600000<BR>\n" );
document.write( "Belgium: f(t) = -12000t + 10200000<BR>\n" );
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document.write( "a) When will the two countries have the same population?<BR>\n" );
document.write( "when these two function are equal<BR>\n" );
document.write( "hence the equation:<BR>\n" );
document.write( "-12000t + 10200000 = -28000t + 10600000<BR>\n" );
document.write( "some basic algebra here<BR>\n" );
document.write( "-12000t + 28000t = 10600000 - 10200000<BR>\n" );
document.write( "+16000t = 400000<BR>\n" );
document.write( "t = 400000/16000<BR>\n" );
document.write( "t = 25 years, we can say they should be equal in 2025<BR>\n" );
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document.write( "b) What will be the population at that time? & Population size<BR>\n" );
document.write( "Greece: -28000(25) + 10600000 = 9,900,000<BR>\n" );
document.write( "Belgium: -12000(25) + 10200000 = 9,900,000 </SPAN>\n" );
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