document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169673>Question 169673</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate Algebra, 3e</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Toxic pollutants. The annual cost in dollars for removing<BR>\n" );
document.write( "p% of the toxic chemicals from a town’s water supply is<BR>\n" );
document.write( "given by the formula<BR>\n" );
document.write( "C(p)= 500,000/100-p<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a) Use the accompanying graph to estimate the cost for<BR>\n" );
document.write( "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<BR>\n" );
document.write( "pollutants removed approaches 100%?<BR>\n" );
document.write( "What happens to the cost as the percentage of<BR>\n" );
document.write( "pollutants removed approaches 100%?<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 #125290 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=125290\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C(p)= 500000/(100-p)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a) Use the accompanying graph to estimate the cost for<BR>\n" );
document.write( "removing 90% and 95% of the toxic chemicals.<BR>\n" );
document.write( "At 90%<BR>\n" );
document.write( "C(90)= 500000/(100-90)<BR>\n" );
document.write( "C(90)= 500000/10<BR>\n" );
document.write( "C(90)= $50,000<BR>\n" );
document.write( ".<BR>\n" );
document.write( "At 95%<BR>\n" );
document.write( "C(95)= 500000/(100-95)<BR>\n" );
document.write( "C(95)= 500000/5<BR>\n" );
document.write( "C(95)= $100,000<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b) Use the formula to find C(99.5) and C(99.9).<BR>\n" );
document.write( "At 99.5%<BR>\n" );
document.write( "C(99.5)= 500000/(100-99.5)<BR>\n" );
document.write( "C(99.5)= 500000/.5<BR>\n" );
document.write( "C(99.5)= $1,000,000<BR>\n" );
document.write( ".<BR>\n" );
document.write( "At 99.9%<BR>\n" );
document.write( "C(99.9)= 500000/(100-99.9)<BR>\n" );
document.write( "C(99.9)= 500000/0.1<BR>\n" );
document.write( "C(99.9)= $5,000,000<BR>\n" );
document.write( ".<BR>\n" );
document.write( "c) What happens to the cost as the percentage of<BR>\n" );
document.write( "pollutants removed approaches 100%?<BR>\n" );
document.write( "As it approaches 100%, the denominator goes to zero -- causing C(p) to become undefined -- or, reach an infinitely high cost.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );