document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190104>Question 1190104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2003, a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly. Answer the questions below and to earn full credit show all work/calculations/thinking.\r<BR>\n" );
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document.write( "How much did the population grow between the year 2003 and 2007?<BR>\n" );
document.write( "How long did it take the population to grow from 1431 people to 2134 people?<BR>\n" );
document.write( "What is the average population growth per year?<BR>\n" );
document.write( "What was the population in the year 2000?<BR>\n" );
document.write( "Find an equation for the population, P, of the town t years after 2000.<BR>\n" );
document.write( "Using your equation, predict the population of the town in 2014. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821764 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 4 years it grew 703.<BR>\n" );
document.write( "It took 4 years, although I am interpreting from the same point in 2003 to the same point in 2007. If it were 1/1/03 to 12/31/07, it would obviously be 5 years.<BR>\n" );
document.write( "average growth/yr is 703/4=175.75 people/yr<BR>\n" );
document.write( "in 2000 3 years earlier, it was 3*175.75 fewer or 527 people or 904 people.<BR>\n" );
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document.write( "this would be 904+175.75t where t=years after 2000<BR>\n" );
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document.write( "in 2014 it would be 175.75*7=1230.25 or 1230 people more or 3364 people.<BR>\n" );
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document.write( "(3, 1431)(7,2134)<BR>\n" );
document.write( "slope is 175.75<BR>\n" );
document.write( "point slope formula y-y1=m(x-x1) m slope  (x1, y1) point<BR>\n" );
document.write( "y-1431=175.75(x-3)<BR>\n" );
document.write( "y=175.75 x +904 where x is the years after 2000.<BR>\n" );
document.write( "when x=14 y=3364.5, so depending on where one rounds, it is 3364 or 3365 people. </SPAN>\n" );
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