document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049512>Question 1049512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A bus company has 4000 passengers daily, each paying a fare of $2. For each $0.15 increase, the company estimates that it will lose 40 passengers per day. If the company needs to have a revenue of $10 450 per day to stay in business, what fare should be charged?\r<BR>\n" );
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document.write( "(Functions Math) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665396 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=665396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bus company has 4000 passengers daily, each paying a fare of $2.<BR>\n" );
document.write( " For each $0.15 increase, the company estimates that it will lose 40 passengers per day.<BR>\n" );
document.write( " If the company needs to have a revenue of $10,450 per day to stay in business, what fare should be charged? <BR>\n" );
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document.write( "Rev = no. of pass * fare<BR>\n" );
document.write( "the equation for this situation<BR>\n" );
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document.write( "let x = the no. of .15 increases and = no. of 40 passenger decreases\r<BR>\n" );
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document.write( "(4000-40x)(2+.15x) = 10450<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "8000 + 600x - 80x - 6x^2 = 10450<BR>\n" );
document.write( "Combine like terms to form a quadratic equation<BR>\n" );
document.write( "-6x^2 + 520x + 8000 - 10450 = 0<BR>\n" );
document.write( "-6x^2 + 520x - 2450 = 0 <BR>\n" );
document.write( " solve this using the quadratic formula. a=-6; b=520; c=-2450<BR>\n" );
document.write( "I got two solutions<BR>\n" );
document.write( "x = 81<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = 5, this is the reasonable solution. 5 price increases will yield $10,450<BR>\n" );
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document.write( "See if that's true<BR>\n" );
document.write( "5 price increases: 5(.15) + 2 = $2.75 is the fare<BR>\n" );
document.write( "5 40 pass decreases: 4000 - 5(40) = 3800 passengers<BR>\n" );
document.write( "Rev = 2.75 * 3800 = $10,450  </SPAN>\n" );
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