document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186634>Question 186634</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132424355/algebrahomeworkh>mathematical analysis</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> a new television depreciates $120 per year, and it is worth $340 after four years. find a function that describes the value of this television, if x is the age of the television in years. <BR>\n" );
document.write( "In full details please, thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139924 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=139924\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the original value of the TV<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120 ALIGN=MIDDLE  ALT=\"120\"   DISABLED_style= \"max-width:90%; height:auto;\" > = depreciation/1 year<BR>\n" );
document.write( "You have to understand that depreciation<BR>\n" );
document.write( "is what the TV loses in value each year,<BR>\n" );
document.write( "so every year it's worth less, and then it<BR>\n" );
document.write( "gets depreciated again<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+120 ALIGN=MIDDLE  ALT=\"y+-+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the value of the TV after 1 year<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+120+-+120 ALIGN=MIDDLE  ALT=\"y+-+120+-+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the value of the TV after 2 years<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+120+-+120+-+120 ALIGN=MIDDLE  ALT=\"y+-+120+-+120+-+120\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the value of the TV after 3 years<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+4%2A120 ALIGN=MIDDLE  ALT=\"y+-+4%2A120\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the value of the TV after 4 years<BR>\n" );
document.write( "The problem says the TV is worth $340 after 4 years, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+-+4%2A120+=+340 ALIGN=MIDDLE  ALT=\"y+-+4%2A120+=+340\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+340+%2B+480 ALIGN=MIDDLE  ALT=\"y+=+340+%2B+480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+820 ALIGN=MIDDLE  ALT=\"y+=+820\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the TV was originally worth $820<BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "Now I need to write a function that tells me the<BR>\n" );
document.write( "value of the TV for any given year<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the year after purchase,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29 ALIGN=MIDDLE  ALT=\"V%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the value of the TV that year<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29+=+820+-+120x ALIGN=MIDDLE  ALT=\"V%28x%29+=+820+-+120x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A quick check is:<BR>\n" );
document.write( "What is the TV worth after 4 years?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28x%29+=+820+-+120x ALIGN=MIDDLE  ALT=\"V%28x%29+=+820+-+120x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%284%29+=+820+-+480 ALIGN=MIDDLE  ALT=\"V%284%29+=+820+-+480\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%284%29+=+340 ALIGN=MIDDLE  ALT=\"V%284%29+=+340\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "That's what it should be </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );