document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=449203>Question 449203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bayside Insurance offers two health plans. Under plan A, Gisselle would have to pay the first $90.00 of her medical bills, plus 40% of the rest.  Under plan B, Giselle would pay the first $130, but only 30% of the rest.  For what amount of medical bills will plan B save Giselle money? Assume she has over $130 in bills.  How much would Giselle save with plan B is she more than x in bills? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309063 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=309063\">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=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount she has to pay under plan A<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount she has to pay under plan B<BR>\n" );
document.write( "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;\" > = total amount of her medical bills<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "plan A:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+.4%2A%28x+-+90%29+%2B+90+ ALIGN=MIDDLE  ALT=\"+a+=+.4%2A%28x+-+90%29+%2B+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+.4x+%2B+54+ ALIGN=MIDDLE  ALT=\"+a+=+.4x+%2B+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "plan B:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+.3%2A%28x+-+130%29+%2B+130+ ALIGN=MIDDLE  ALT=\"+b+=+.3%2A%28x+-+130%29+%2B+130+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+.3x+%2B+91+ ALIGN=MIDDLE  ALT=\"+b+=+.3x+%2B+91+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First I need to find the amount of bills for which <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+%3C+a+ ALIGN=MIDDLE  ALT=\"+b+%3C+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.3%2A%28x-130%29+%2B+130+%3C+.4%2A%28x-90%29+%2B+90+ ALIGN=MIDDLE  ALT=\"+.3%2A%28x-130%29+%2B+130+%3C+.4%2A%28x-90%29+%2B+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.3x+-+39+%2B+130+%3C+.4x+-+36+%2B+90+ ALIGN=MIDDLE  ALT=\"+.3x+-+39+%2B+130+%3C+.4x+-+36+%2B+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+91+%3C+.1x+%2B+54+ ALIGN=MIDDLE  ALT=\"+91+%3C+.1x+%2B+54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.1x+%3E+37+ ALIGN=MIDDLE  ALT=\"+.1x+%3E+37+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%3E+370+ ALIGN=MIDDLE  ALT=\"+x+%3E+370+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the bills are over $370, plan B costs less than plan A<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "The 2nd part want you to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+-+a+ ALIGN=MIDDLE  ALT=\"+b+-+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Savings = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.3%2A%28x+-+130%29+%2B+130+-%28+.4%2A%28x+-+90%29+%2B+90%29+ ALIGN=MIDDLE  ALT=\"+.3%2A%28x+-+130%29+%2B+130+-%28+.4%2A%28x+-+90%29+%2B+90%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Savings = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.3x+-+39+%2B+130+-+.4x+%2B+36++-+90+ ALIGN=MIDDLE  ALT=\"+.3x+-+39+%2B+130+-+.4x+%2B+36++-+90+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Savings = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+37+-+.1x+ ALIGN=MIDDLE  ALT=\"+37+-+.1x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Here's a graph of the 2 plans:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-50%2C+500%2C+-50%2C+500%2C+.4x+%2B+54%2C+.3x+%2B+91%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-50%2C+500%2C+-50%2C+500%2C+.4x+%2B+54%2C+.3x+%2B+91%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );