document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107664>Question 1107664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Amy has $20 in her savings account and is adding $10 every week. Jim has $180 in his savings account but has to take out $30 every week. Write the equation that represents the amount that each has in their account. Don't forget to define your variable. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722684 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=722684\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x equal the number of weeks.<BR>\n" );
document.write( "let y = the amount of money that each has in their account.\r<BR>\n" );
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document.write( "the equation for amy will be y = 20 + 10 * x.\r<BR>\n" );
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document.write( "the equation for jim will be y = 180 - 30 * x.\r<BR>\n" );
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document.write( "the value of y for amy will be different than the value of y for jim except when the amount in each of their accounts is the same.\r<BR>\n" );
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document.write( "if you graphed both equations, you would see when this happens.\r<BR>\n" );
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document.write( "the graph of both their equations would look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/012702.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( "the blue line is amy's line.\r<BR>\n" );
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document.write( "the red line is jim's line.\r<BR>\n" );
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document.write( "they intersect at the coordinate point of (4,60).\r<BR>\n" );
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document.write( "the means that the value of x is 4 and the value of y is 60.\r<BR>\n" );
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document.write( "that means that they would both have the same amount of money in their account in 4 weeks, and that amount would be 60 dollars.\r<BR>\n" );
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document.write( "going to amy's equation, we get y = 20 + 10x.<BR>\n" );
document.write( "when x = 4, the equation becomes y = 20 + 40 = 60.\r<BR>\n" );
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document.write( "going to jim's euation, we get y = 180 - 30x.<BR>\n" );
document.write( "when x = 4, the equation becomes y = 180 - 120 = 60.\r<BR>\n" );
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document.write( "the value of y is the same at 60 which means they both have 60 dollars in their account after 4 weeks.\r<BR>\n" );
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document.write( "your solution is:\r<BR>\n" );
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document.write( "the equation for amy is y = 20 + 10x.\r<BR>\n" );
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document.write( "the equation for jim is y = 180 - 30x.\r<BR>\n" );
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document.write( "y represents the amount of money in their respective accounts.<BR>\n" );
document.write( "x represents the number of weeks from their starting balance.\r<BR>\n" );
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document.write( "their current balance is when x = 0.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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