document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697408>Question 697408</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ivan is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. \r<BR>\n" );
document.write( "\n" );
document.write( "Company A charges an initial fee of $40 and an additional .80 cents for every mile driven.<BR>\n" );
document.write( "Company B charges an initial fee of $53 and an additional .60 cents for every mile driven. <BR>\n" );
document.write( "For what mileages will Company A charge less than Company B? Write your answer as an inequality, using m for the number of miles driven. <BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429962 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=429962\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, I'll find the milage for which both<BR>\n" );
document.write( "companies charge the same<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+ ALIGN=MIDDLE  ALT=\"+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the charge for the day<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "Company A:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+40+%2B+.8m+ ALIGN=MIDDLE  ALT=\"+C+=+40+%2B+.8m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Company B:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+53+%2B+.6m+ ALIGN=MIDDLE  ALT=\"+C+=+53+%2B+.6m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Making the charges equal:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+40+%2B+.8m+=+53+%2B+.6m+ ALIGN=MIDDLE  ALT=\"+40+%2B+.8m+=+53+%2B+.6m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2m+=+53+-+40+ ALIGN=MIDDLE  ALT=\"+.2m+=+53+-+40+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2m+=+13+ ALIGN=MIDDLE  ALT=\"+.2m+=+13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+65+ ALIGN=MIDDLE  ALT=\"+m+=+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "So, for 65 miles driven, the charge is the same<BR>\n" );
document.write( "for both companies<BR>\n" );
document.write( "I want to know if A charges less than B with<BR>\n" );
document.write( "more miles driven or less miles driven.<BR>\n" );
document.write( "What If I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+=+65.001+ ALIGN=MIDDLE  ALT=\"+m+=+65.001+\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Company A:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+40+%2B+.8m+ ALIGN=MIDDLE  ALT=\"+C+=+40+%2B+.8m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+40+%2B+.8%2A65.001+ ALIGN=MIDDLE  ALT=\"+C+=+40+%2B+.8%2A65.001+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+40+%2B+52.0008+ ALIGN=MIDDLE  ALT=\"+C+=+40+%2B+52.0008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+92.0008+ ALIGN=MIDDLE  ALT=\"+C+=+92.0008+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Company B:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+53+%2B+.6m+ ALIGN=MIDDLE  ALT=\"+C+=+53+%2B+.6m+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+53+%2B+.6%2A65.001+ ALIGN=MIDDLE  ALT=\"+C+=+53+%2B+.6%2A65.001+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+53+%2B+39.0006+ ALIGN=MIDDLE  ALT=\"+C+=+53+%2B+39.0006+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+92.0006+ ALIGN=MIDDLE  ALT=\"+C+=+92.0006+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can see that for slightly more than 65 miles driven, <BR>\n" );
document.write( "B charges less than A. That means less than 65 miles<BR>\n" );
document.write( "must be driven for A to charge less than B.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+m+%3C+65+ ALIGN=MIDDLE  ALT=\"+m+%3C+65+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );