document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947823>Question 947823</A>: <I><SPAN STYLE=\"word-break: break-all;\"> while Jenny goes on vacation, she puts her two dogs in a kennel. she pays a flat fee of $20 per dog and then pays a certain amount of money each day for each dog. If she leaves the dogs for 5 days, the cost is $540. If she leaves the dogs for 7 days, the cost is 740.                                                                \r<BR>\n" );
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document.write( "write a linear function to model the relationship between the number of days,x, at the kennel and the total cost, y, for one dog.                                                         \r<BR>\n" );
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document.write( "PLEASE HELP I DONT UNDERSTAND \r<BR>\n" );
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document.write( "I thought you had to do this:<BR>\n" );
document.write( "5y + 540x = 20<BR>\n" );
document.write( "7y + 740x = 20 <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578440 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=578440\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question part is too strange.  You want x for how many days and y for how much total cost for one dog.  <s>Trying to account for total cost should be neater, maybe smarter</s>.\r<BR>\n" );
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document.write( "Assigning different variables:<BR>\n" );
document.write( "p, price per dog for 1 day<BR>\n" );
document.write( "2 dogs, known<BR>\n" );
document.write( "20 dollar, flat fee for 1 dog\r<BR>\n" );
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document.write( "FIVE DAYS<BR>\n" );
document.write( "2*20+2*5*p=540\r<BR>\n" );
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document.write( "SEVEN DAYS<BR>\n" );
document.write( "2*20+2*7*p=740\r<BR>\n" );
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document.write( "The five and seven day data MUST give the same price p for each dog each day.  If the two equations do not give equal values for p, then the problem description is bad.\r<BR>\n" );
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document.write( "SOLVING EACH EQUATION:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A5%2Ap=540-40 ALIGN=MIDDLE  ALT=\"2%2A5%2Ap=540-40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10p=500 ALIGN=MIDDLE  ALT=\"10p=500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=50 ALIGN=MIDDLE  ALT=\"p=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A7%2Ap=740-2%2A20 ALIGN=MIDDLE  ALT=\"2%2A7%2Ap=740-2%2A20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14p=700 ALIGN=MIDDLE  ALT=\"14p=700\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=700%2F14 ALIGN=MIDDLE  ALT=\"p=700%2F14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=%287%2A2%2A5%2A2%2A5%29%2F%282%2A7%29 ALIGN=MIDDLE  ALT=\"p=%287%2A2%2A5%2A2%2A5%29%2F%282%2A7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=50 ALIGN=MIDDLE  ALT=\"p=50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "PRICE <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28p=50%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28p=50%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, dollars per day for each dog.\r<BR>\n" );
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document.write( "NOW you can use your other expected variables x and y for what you were asked:  to find A LINEAR EQUATION for cost for boarding a dog.<BR>\n" );
document.write( "x, how many days<BR>\n" );
document.write( "y, cost to board 1 dog for x days<BR>\n" );
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document.write( "FIXED cost of $20, and expect x to be from set of natural numbers  (or whole numbers, in case of less than one full day of boarding).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28y=50x%2B20%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28y=50x%2B20%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The price works as the slope. </SPAN>\n" );
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