document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118706>Question 118706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 1980 the average price of a home in Brainerd County was $100,000. By 1986 the average price of a home was $112.00[112,000].<BR>\n" );
document.write( "Write a linear model for the price of a home,p,in Brainerd County in terms of the year,t. let t=0 correspond to 1980. \r<BR>\n" );
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document.write( "[a] p =12,00t+100,000\r<BR>\n" );
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document.write( "[b] p=2,000t=112,000\r<BR>\n" );
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document.write( "[c] P=-2,000t=100,000\r<BR>\n" );
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document.write( "[d] P=2,000t+100,000\r<BR>\n" );
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document.write( "I think the answer is b or c but im not quite sure I take really good notes in class but I dont have this kind of problem in my note book. <BR>\n" );
document.write( "thanks alot.<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 #86830 by </B><A HREF=/tutors/aboutme.mpl?userid=m.hansen><B>m.hansen(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=m.hansen><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=86830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if 1980 -> t=0 then, 1986 -> t=6 (six years later).<BR>\n" );
document.write( "The two points are (t,price) -> (0,100000) and (6, 112000)\r<BR>\n" );
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document.write( "we want an equation in the form y=mx+b,<BR>\n" );
document.write( "the y-intercept(b) is the y(P in this problem) value when x(t in this problem) is 0: so b=100000<BR>\n" );
document.write( "m is the slope: m={{y2-y1}/{x2-x1}}={{t2 - t1}/{P2 - P1}}<BR>\n" );
document.write( "so m = {{112000-100000}/{6-0}} = 2000\r<BR>\n" );
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document.write( "so y = 2000x + 100000<BR>\n" );
document.write( "or P = 2000x + 100000 and the answer is C. </SPAN>\n" );
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