document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=155052>Question 155052</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll. Determine the linear equation that will represent the number of children who will enroll at a given fee. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114296 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=114296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The director of a summer day camp estimates that 120 children will join if the<BR>\n" );
document.write( " camp fee is $250, but for each $25 decrease in the fee, five more children will<BR>\n" );
document.write( " enroll. Determine the linear equation that will represent the number of <BR>\n" );
document.write( "children who will enroll at a given fee<BR>\n" );
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document.write( "We need two sets of coordinates to make a linear equation.<BR>\n" );
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document.write( "The first set is given; call it: x1 = 250, y1 = 120<BR>\n" );
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document.write( "We can make a 2nd set using the information given, if we decrease the fee to<BR>\n" );
document.write( " $200, that will increase the no. of children to 130. (5 for each $25 decrease)<BR>\n" );
document.write( "Call these coordinates: x2=200, y2 = 130<BR>\n" );
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document.write( "Find the slope by using the slope formula: m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28y2-y1%29%29%2F%28%28x2-x1%29%29 ALIGN=MIDDLE  ALT=\"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28130-y120%29%29%2F%28%28200-250%29%29 ALIGN=MIDDLE  ALT=\"%28%28130-y120%29%29%2F%28%28200-250%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2810%29%29%2F%28%28-50%29%29 ALIGN=MIDDLE  ALT=\"%28%2810%29%29%2F%28%28-50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = -.2<BR>\n" );
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document.write( "Find the equation using the point/slope formula: y-y1 = m(x-x1)<BR>\n" );
document.write( "y - 120 = -.2(x - 250<BR>\n" );
document.write( "y - 120 - -,2x + 50<BR>\n" );
document.write( "y = -.2x + 50 + 120<BR>\n" );
document.write( "y = -.2x + 170 is our equation<BR>\n" );
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document.write( "Check this out; substitute 200 for x and confirm that y = 130<BR>\n" );
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