document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142063>Question 1142063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The end of the seventh month this year, you have $503 saved. At the end of the tenth month this year, you have saved $545.\r<BR>\n" );
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document.write( "Write an equation to model this situation (use <BR>\n" );
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document.write( " for months and <BR>\n" );
document.write( "s<BR>\n" );
document.write( " for savings). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762719 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=762719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> at the end of the 7th month, you have 503.\r<BR>\n" );
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document.write( "at the end of the 10th month, you have 545.\r<BR>\n" );
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document.write( "if you look at this as a straight line equation, the equqtion for that is y = mx + b.\r<BR>\n" );
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document.write( "m is the slope and b is the y-intercept.\r<BR>\n" );
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document.write( "your slope is the change in y divided by the corresponding change in x.\r<BR>\n" );
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document.write( "your change in y would be (545 - 503) = 42\r<BR>\n" );
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document.write( "your corresponding change in x would be (10 - 7) = 3\r<BR>\n" );
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document.write( "your slope is 42 / 3 = 14.\r<BR>\n" );
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document.write( "your equation becomes y = 14 * x + b\r<BR>\n" );
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document.write( "your y-intercept is the value of y when x = 0.\r<BR>\n" );
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document.write( "to find that, you take any point on the line and replace x and y with that and solve for b.\r<BR>\n" );
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document.write( "one point on your line will be (7,503).\r<BR>\n" );
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document.write( "7 is equal to x and 503 is equal to y.\r<BR>\n" );
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document.write( "y = 14 * x + b becomes 503 = 14 * 7 + b\r<BR>\n" );
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document.write( "solve for b to get b = 503 - 14 * 7 = 503 - 98 = 405\r<BR>\n" );
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document.write( "your equation becomes y = 14 * x + 405\r<BR>\n" );
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document.write( "your y-intercept is 405.\r<BR>\n" );
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document.write( "this is the value of y when x is equal to 0.\r<BR>\n" );
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document.write( "when x is 7, you get y = 14 * x + 405 becomes y = 14 * 7 + 405 which becomes y = 98 + 405 which becomes y = 503.\r<BR>\n" );
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document.write( "when x is 10, you get y = 14 * x + 405 becomes y = 14 * 10 + 405 which becomes y = 140 + 405 which becomes y = 545.\r<BR>\n" );
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document.write( "that equation can be graphed.\r<BR>\n" );
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document.write( "the graph looks like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/061001.jpg\" alt = \"$$$\" >\r<BR>\n" );
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document.write( "the above equation assumes straight line growth.\r<BR>\n" );
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document.write( "for each increase of 1 unit in the value of x, the value of y is increased by 14 units.\r<BR>\n" );
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document.write( "when dealing with x and y, the equation is y = 14 * x + 405.\r<BR>\n" );
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document.write( "if you replace y with s (savings), and x with m (for months), the equation becomes:\r<BR>\n" );
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document.write( "s = 14 * m + 405.\r<BR>\n" );
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document.write( "that tells you that, for every increase of 1 in the number of months, the value of your savings is increased by an average of 14.\r<BR>\n" );
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