document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=844711>Question 844711</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.70 per mile driven. How many miles would Diane need to drive for the two plans to cost the same? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #508889 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=508889\">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=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = the number of miles she<BR>\n" );
document.write( "has to drive for the 2 plans to cost 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;\" > = cost<BR>\n" );
document.write( "For the 1st plan:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+55+%2B+.5x+ ALIGN=MIDDLE  ALT=\"+C+=+55+%2B+.5x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the 2nd plan:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+.7x+ ALIGN=MIDDLE  ALT=\"+C+=+.7x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Make the costs of the 2 plans the same<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+55+%2B+.5x+=+.7x+ ALIGN=MIDDLE  ALT=\"+55+%2B+.5x+=+.7x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.2x+=+55+ ALIGN=MIDDLE  ALT=\"+.2x+=+55+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+275+ ALIGN=MIDDLE  ALT=\"+x+=+275+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Diane needs to drive 275 mi for the two plans to cost the same<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Here is the plot for the 2 plans:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+400%2C+-50%2C+350%2C+-50%2C+280%2C+.5x+%2B+55%2C+.7x+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+400%2C+-50%2C+350%2C+-50%2C+280%2C+.5x+%2B+55%2C+.7x+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );