document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178411>Question 178411</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072450282and0072476028AIE/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Oh my gosh, I need help again. Here is the problem.<BR>\n" );
document.write( "The annual cost in dollars for removing p% of the toxic chemicals froma town's water supply is given by this formula.  C(p) 500,000/100-p.<BR>\n" );
document.write( "A. Estimate the cost for removing 90% and 95% of the toxic chemicals.<BR>\n" );
document.write( "B. Use the formula to find C(99.5) and C(99.9).<BR>\n" );
document.write( "C. What happens to the cost as the percentage of pollutants removed approaches 100% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133375 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=133375\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28p%29=%28500000%29%2F%28100-p%29 ALIGN=MIDDLE  ALT=\"C%28p%29=%28500000%29%2F%28100-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2890%29=%28500000%29%2F%28100-90%29 ALIGN=MIDDLE  ALT=\"C%2890%29=%28500000%29%2F%28100-90%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=90 ALIGN=MIDDLE  ALT=\"p=90\"   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=C%2890%29=%28500000%29%2F%2810%29 ALIGN=MIDDLE  ALT=\"C%2890%29=%28500000%29%2F%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2890%29=50000 ALIGN=MIDDLE  ALT=\"C%2890%29=50000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So it costs $50,000 to remove 90% of the toxic chemicals.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28p%29=%28500000%29%2F%28100-p%29 ALIGN=MIDDLE  ALT=\"C%28p%29=%28500000%29%2F%28100-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2895%29=%28500000%29%2F%28100-95%29 ALIGN=MIDDLE  ALT=\"C%2895%29=%28500000%29%2F%28100-95%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=95 ALIGN=MIDDLE  ALT=\"p=95\"   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=C%2895%29=%28500000%29%2F%285%29 ALIGN=MIDDLE  ALT=\"C%2895%29=%28500000%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2895%29=100000 ALIGN=MIDDLE  ALT=\"C%2895%29=100000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So it costs $100,000 to remove 95% of the toxic chemicals.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28p%29=%28500000%29%2F%28100-p%29 ALIGN=MIDDLE  ALT=\"C%28p%29=%28500000%29%2F%28100-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2899.5%29=%28500000%29%2F%28100-99.5%29 ALIGN=MIDDLE  ALT=\"C%2899.5%29=%28500000%29%2F%28100-99.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=99.5 ALIGN=MIDDLE  ALT=\"p=99.5\"   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=C%2899.5%29=%28500000%29%2F%280.5%29 ALIGN=MIDDLE  ALT=\"C%2899.5%29=%28500000%29%2F%280.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2899.5%29=1000000 ALIGN=MIDDLE  ALT=\"C%2899.5%29=1000000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So it costs $1,000,000 to remove 99.5% of the toxic chemicals.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%28p%29=%28500000%29%2F%28100-p%29 ALIGN=MIDDLE  ALT=\"C%28p%29=%28500000%29%2F%28100-p%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2899.9%29=%28500000%29%2F%28100-99.9%29 ALIGN=MIDDLE  ALT=\"C%2899.9%29=%28500000%29%2F%28100-99.9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=99.9 ALIGN=MIDDLE  ALT=\"p=99.9\"   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=C%2899.9%29=%28500000%29%2F%280.1%29 ALIGN=MIDDLE  ALT=\"C%2899.9%29=%28500000%29%2F%280.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2899.9%29=5000000 ALIGN=MIDDLE  ALT=\"C%2899.9%29=5000000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So it costs $5,000,000 to remove 99.9% of the toxic chemicals.\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "As the percentage approaches 100, the cost increases dramatically. Notice how the cost increased tenfold (ie multiplied by 10) as \"p\" changed from 95 to 99.5\r<BR>\n" );
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document.write( "Also, take note that \"p\" CANNOT be equal to 100. If p was equal to 100, then there would be a division by zero (which is undefined). So this means that we CANNOT completely remove the toxic chemicals. </SPAN>\n" );
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