document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194480>Question 1194480</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A business owner decides to buy a company car for $53400 and assumes it will have a trade-in value of $21900 after 10 years. The business person uses a constant rate of depreciation (commonly called straight-line depreciation, one of several methods permitted by the IRS) to determine the annual value of the car.\r<BR>\n" );
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document.write( "(a) Find a linear model for the depreciated value V of the car t years after it was purchased?<BR>\n" );
document.write( "V= <BR>\n" );
document.write( "(b) What is the depreciated value of the car after 4 years?<BR>\n" );
document.write( " dollars\r<BR>\n" );
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document.write( "(c) When will the depreciated value fall below $31700? Give an exact answer.<BR>\n" );
document.write( " years </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826714 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=826714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> year, price<BR>\n" );
document.write( "(0, 53400) and (10, 21900)<BR>\n" );
document.write( "from those ordered pairs the slope is -315.<BR>\n" );
document.write( "point-slope formula y-y1=m(x-x1), y slope and (x1, y1) point<BR>\n" );
document.write( "y-53400=-3150(x)<BR>\n" );
document.write( "or y=-3150x+53400<BR>\n" );
document.write( "after 4 years, x=4 so y=-3150(4)+53400=$40,800<BR>\n" );
document.write( "-<BR>\n" );
document.write( "31700=-3150x+53400<BR>\n" );
document.write( "so -3150x=-21700<BR>\n" );
document.write( "x=6.89 years but exact is 434/63=62/9 years </SPAN>\n" );
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