document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785068>Question 785068</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An office building worth $1million when completed in 2005 is being depreciated linearly over 50 years. What was the book value of the building in 2009? What will it be in 2018? (Assume the  scrap value is $0.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477345 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=477345\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Right now, it's worth 1 million dollars. So the first ordered pair is (0, 1) where y is in millions.\r<BR>\n" );
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document.write( "In 50 years, it will be worth $0. The second ordered pair is (50,0)\r<BR>\n" );
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document.write( "Slope:\r<BR>\n" );
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document.write( "Now use the slope formula\r<BR>\n" );
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document.write( "m = (y2-y1)/(x2-x1)\r<BR>\n" );
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document.write( "m = (0-1)/(50-0)\r<BR>\n" );
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document.write( "m = -1/50\r<BR>\n" );
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document.write( "y = mx + b\r<BR>\n" );
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document.write( "y = (-1/50)x + b\r<BR>\n" );
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document.write( "1 = (-1/50)(0) + b\r<BR>\n" );
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document.write( "1 = 0 + b\r<BR>\n" );
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document.write( "1 = b\r<BR>\n" );
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document.write( "b = 1\r<BR>\n" );
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document.write( "So the equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F50%29x+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F50%29x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > where again, y is the value of the building in millions of dollars and x is the time in years (since 2005)\r<BR>\n" );
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document.write( "Now let's answer the questions\r<BR>\n" );
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document.write( "What was the book value of the building in 2009?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%2F50%29x+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+%28-1%2F50%29x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0.92 ALIGN=MIDDLE  ALT=\"y+=+0.92\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y is in millions of dollars, so 0.92 million = 920 thousand dollars\r<BR>\n" );
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document.write( "What was the book value of the building in 2009? <font color=\"red\">920 thousand dollars</font>\r<BR>\n" );
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document.write( "What will it be in 2018?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0.74 ALIGN=MIDDLE  ALT=\"y+=+0.74\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y is in millions of dollars, so 0.74 million = 740 thousand dollars\r<BR>\n" );
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document.write( "What will it be in 2018? <font color=\"red\">740 thousand dollars</font> </SPAN>\n" );
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