document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=622415>Question 622415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The average home price in Linden Hills, Minneapolis in 2007 was $381,000.&#8232;The average home price in Linden Hills, Minneapolis in 2011 was $296,000<BR>\n" );
document.write( "Source:  http://www.zillow.com/local-info/MN-Minneapolis-home-value/r_5983/<BR>\n" );
document.write( "Let year be the x variable and the home price be the y variable.<BR>\n" );
document.write( " Generate a linear function that relates year (x) to home price (y).<BR>\n" );
document.write( "Estimate what the average home price was in 2009.<BR>\n" );
document.write( "Estimate what the average home price will be in 2035.  Discuss your answer.<BR>\n" );
document.write( "If this trend continues, estimate what year you would predict the average home price will reach $250,000.<BR>\n" );
document.write( "Describe in your own words, what the slope of this function tells you.<BR>\n" );
document.write( "Give another example where you might use a linear representation to model change over time.<BR>\n" );
document.write( "Hint for a- f:  You have two points and you are generating the equation of a line given two points.  Your points are of the form (x, y) or more specifically (year, home price). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #391378 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=391378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Use the two-point form of an equation of a straight line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ -\ y_1\ =\ \left(\frac{y_1\ -\ y_2}{x_1\ -\ x_2}\right)(x\ -\ x_1) \">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_1,y_1\right)\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x_2,y_2\right)\"> are the coordinates of the given points.\r<BR>\n" );
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document.write( "By the way, using a linear relationship to extrapolate home prices 23 years into the future is just plain dumb.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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