document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=145950>Question 145950</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Bayside Insurance offers two health plans.  Under plan A, Giselle would have to pay the first $50 of her medical bills, plus 25% of the rest.  Under plan B, Giselle would pay the first $230, but only 20% of the rest.  For what amount of medical bills will plan B save Giselle money?  Assume she has over $230 in bills.<BR>\n" );
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document.write( "Suppose Giselle has a certain amount in medical bills, such as $5000.  How much would she pay under each plan?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106507 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"For what amount of medical bills will plan B save Giselle money?\"\r<BR>\n" );
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document.write( "Let x=amount of the bill\r<BR>\n" );
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document.write( "Under plan A, the expression is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B0.25%28x-50%29 ALIGN=MIDDLE  ALT=\"50%2B0.25%28x-50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Under plan B, the expression is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0.20%28x-230%29 ALIGN=MIDDLE  ALT=\"230%2B0.20%28x-230%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So to figure out when plan B will save her money, simply set the plan B expression less than the plan A expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Plan_B%3CPlan_A ALIGN=MIDDLE  ALT=\"Plan_B%3CPlan_A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0.20%28x-230%29%3C50%2B0.25%28x-50%29 ALIGN=MIDDLE  ALT=\"230%2B0.20%28x-230%29%3C50%2B0.25%28x-50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0.20x-46%3C50%2B0.25x-12.5 ALIGN=MIDDLE  ALT=\"230%2B0.20x-46%3C50%2B0.25x-12.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=184%2B0.20x%3C37.5%2B0.25x ALIGN=MIDDLE  ALT=\"184%2B0.20x%3C37.5%2B0.25x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.20x-0.25x%3C37.5-184 ALIGN=MIDDLE  ALT=\"0.20x-0.25x%3C37.5-184\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 0.25x from both sides. Subtract 184 from both sides. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.05x%3C-146.5 ALIGN=MIDDLE  ALT=\"-0.05x%3C-146.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2930 ALIGN=MIDDLE  ALT=\"x%3E2930\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 0.45\r<BR>\n" );
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document.write( "So if she has any bills over $2,930, then Plan B will cost less than Plan A. \r<BR>\n" );
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document.write( "\"Suppose Giselle has a certain amount in medical bills, such as $5000.  How much would she pay under each plan?\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B0.25%28x-50%29 ALIGN=MIDDLE  ALT=\"50%2B0.25%28x-50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the Plan A expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B0.25%2A%285000-50%29 ALIGN=MIDDLE  ALT=\"50%2B0.25%2A%285000-50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5000 ALIGN=MIDDLE  ALT=\"x=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B0.25%2A4950 ALIGN=MIDDLE  ALT=\"50%2B0.25%2A4950\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000 ALIGN=MIDDLE  ALT=\"5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4950 ALIGN=MIDDLE  ALT=\"4950\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50%2B1237.5 ALIGN=MIDDLE  ALT=\"50%2B1237.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.25 ALIGN=MIDDLE  ALT=\"0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4950 ALIGN=MIDDLE  ALT=\"4950\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1237.5 ALIGN=MIDDLE  ALT=\"1237.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1287.5 ALIGN=MIDDLE  ALT=\"1287.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50 ALIGN=MIDDLE  ALT=\"50\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1237.5 ALIGN=MIDDLE  ALT=\"1237.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1287.5 ALIGN=MIDDLE  ALT=\"1287.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "So under Plan A, she will pay $1,287.50\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0.20%28x-230%29 ALIGN=MIDDLE  ALT=\"230%2B0.20%28x-230%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the Plan B expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0.20%2A%285000-230%29 ALIGN=MIDDLE  ALT=\"230%2B0.20%2A%285000-230%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5000 ALIGN=MIDDLE  ALT=\"x=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0.20%2A4770 ALIGN=MIDDLE  ALT=\"230%2B0.20%2A4770\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230 ALIGN=MIDDLE  ALT=\"230\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5000 ALIGN=MIDDLE  ALT=\"5000\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4770 ALIGN=MIDDLE  ALT=\"4770\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230%2B0954 ALIGN=MIDDLE  ALT=\"230%2B0954\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.20 ALIGN=MIDDLE  ALT=\"0.20\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4770 ALIGN=MIDDLE  ALT=\"4770\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=954 ALIGN=MIDDLE  ALT=\"954\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1184 ALIGN=MIDDLE  ALT=\"1184\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=230 ALIGN=MIDDLE  ALT=\"230\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=954 ALIGN=MIDDLE  ALT=\"954\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1184 ALIGN=MIDDLE  ALT=\"1184\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "So under Plan B, she will pay $1,184.00\r<BR>\n" );
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