document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135026>Question 1135026</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Lydia	and	her	friends	want	to	rent	a	boat,	so	they	start	shopping	around.		Store	ABC	charges	an	initial	fee	of	$50,	plus	$10	for	every	hour	of	rental.		Store	XYZ	charges	an	initial	fee	of	$40,	plus	$15	for	every	hour	of	rental.		At	what<BR>\n" );
document.write( "number of hour renting a boat from either store be same? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #752540 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=752540\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula to use is y = m * x + b.\r<BR>\n" );
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document.write( "b is the initial charger.<BR>\n" );
document.write( "m is the hourly charge.<BR>\n" );
document.write( "x is the number of hours.<BR>\n" );
document.write( "y is the total cost.\r<BR>\n" );
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document.write( "store ABC charges an initial fee of 50 dollars plus 10 dollars for every hour of rental.\r<BR>\n" );
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document.write( "the formula for ABC is y1 = 10 * x + 50\r<BR>\n" );
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document.write( "store XYZ charges an initial fee of 40 dollars plus 15 dollars for every hour of rental.\r<BR>\n" );
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document.write( "the formula for XYZ is y2 = 15 * x + 40\r<BR>\n" );
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document.write( "when the total is the same, y1 is equal to y2.\r<BR>\n" );
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document.write( "since y1 is equal to 10 * x + 50 and y2 is equal to 25 * x + 40, you get:\r<BR>\n" );
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document.write( "10 * x + 50 = 15 * x + 40\r<BR>\n" );
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document.write( "subtract 40 from both sides of this equation and subtract 10 * x from both sides of this equation to get:\r<BR>\n" );
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document.write( "50 - 40 = 15 * x - 10 * x\r<BR>\n" );
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document.write( "simplify to get 10 = 5 * x\r<BR>\n" );
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document.write( "solve for x to get x = 2\r<BR>\n" );
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document.write( "if you rent the boat for 2 hours, the cost would be the same whether you used ABC or XYZ\r<BR>\n" );
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document.write( "when x = 2, ABC cost is 50 + 10 * 2 = 70.\r<BR>\n" );
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document.write( "when x = 2, XYZ cost is 40 + 2 * 15 = 70.\r<BR>\n" );
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document.write( "your solution is 2 hours.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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