document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=775789>Question 775789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help! a movie rental club charges &4.95 for the first months rental. The club charges $18.95 for each additional month. How much is rhe total cost for one year? <BR>\n" );
document.write( "a) dtermine a1<BR>\n" );
document.write( "b) determine d </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #473223 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=473223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The total cost for the first year is<BR>\n" );
document.write( "$4.95 + (12-1)($18.95) = $4.95 + 11($18.95) = $4.95 + $208.45 = $213.40<BR>\n" );
document.write( "Up to there, the question is a \"word problem\" that any fifth grader should solve easily.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Beyond that, the question turns into a mind-reader's puzzle.<BR>\n" );
document.write( "What is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D ALIGN=MIDDLE  ALT=\"a%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > and what is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d ALIGN=MIDDLE  ALT=\"d\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Usually those terms refer to an arithmetic sequence, but what arithmetic sequence do you have in mind (or what does the teacher have in mind)?<BR>\n" );
document.write( "Why does the problem make you/anyone think of arithmetic sequences?<BR>\n" );
document.write( "What is gained from viewing the problem as an application of arithmetic sequences?<BR>\n" );
document.write( " <BR>\n" );
document.write( "Maybe you (and/or the teachers who want contrive this as an application of arithmetic sequences) are thinking of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D ALIGN=MIDDLE  ALT=\"a%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >= total cost for the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > months.<BR>\n" );
document.write( "In that case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=%22%24%22 ALIGN=MIDDLE  ALT=\"a%5B1%5D=%22%24%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.95 ALIGN=MIDDLE  ALT=\"4.95\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the cost for the first month<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%22%24%22 ALIGN=MIDDLE  ALT=\"d=%22%24%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.95 ALIGN=MIDDLE  ALT=\"18.95\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the monthly charge for each additional month.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=%22%24%22 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=%22%24%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.95%2B%28n-1%2918.95 ALIGN=MIDDLE  ALT=\"4.95%2B%28n-1%2918.95\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the total charge for the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > months, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B12%5D=%22%24%22 ALIGN=MIDDLE  ALT=\"a%5B12%5D=%22%24%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.95%2B%2812-1%2918.95 ALIGN=MIDDLE  ALT=\"4.95%2B%2812-1%2918.95\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the total charge for the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > months (the first year) as calculated above.<BR>\n" );
document.write( "That is probably the expected answer. <BR>\n" );
document.write( " <BR>\n" );
document.write( "A different arithmetic sequence I could relate to this problem is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D ALIGN=MIDDLE  ALT=\"a%5Bn%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=total cost for the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > years.<BR>\n" );
document.write( "In that case,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5B1%5D=%22%24213.40%22 ALIGN=MIDDLE  ALT=\"a%5B1%5D=%22%24213.40%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the cost for the first year as calculated above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=%22%24%22 ALIGN=MIDDLE  ALT=\"d=%22%24%22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18.95%2A12=%22%24227.40%22 ALIGN=MIDDLE  ALT=\"18.95%2A12=%22%24227.40%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the total cost for each additional year, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Bn%5D=%22%24213.40%2B%24227.40%22%28n-1%29 ALIGN=MIDDLE  ALT=\"a%5Bn%5D=%22%24213.40%2B%24227.40%22%28n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the total charge for the first <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > years.<BR>\n" );
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document.write( " </SPAN>\n" );
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