document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083565>Question 1083565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the table of values for s and t, write down a formula expressing s in term of t for these values : <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 #697576 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=697576\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> suppose your table looks like this:\r<BR>\n" );
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document.write( "               x                t\r\n" );
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document.write( "               0                3\r\n" );
document.write( "               1                8\r\n" );
document.write( "               2                13\r\n" );
document.write( "               3                18\r\n" );
document.write( "               4                23\r\n" );
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document.write( "your formula expressing t in terms of s would be t = 5s + 3\r<BR>\n" );
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document.write( "when s = 1, t is equal to 5 * 1 + 3 = 8<BR>\n" );
document.write( "when s = 4, t is equal to 5 * 4 + 3 = 23\r<BR>\n" );
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document.write( "this is a linear equation, so each succeeding value of t will always be 5 more than the preceding value of t when each succeeding value of s is 1 more than the preceding value of s.\r<BR>\n" );
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document.write( "you can see this from the table.\r<BR>\n" );
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document.write( "when s = 0, the value of t will be 0 * 5 + 3 = 3.\r<BR>\n" );
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document.write( "the graph of this equation will look like this, after replacing t with y and s with x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/060201.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "as you can see, this is the graph of a straight line.\r<BR>\n" );
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document.write( "the vertical dashed lines are only there to show you the value of y for each value of x.\r<BR>\n" );
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document.write( "the value of y on the graph represents the value of t.\r<BR>\n" );
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document.write( "the value of x on the graph represents the value of x.\r<BR>\n" );
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document.write( "the coordinates are in the form of (x,y).\r<BR>\n" );
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document.write( "x represents the distance the line travels horizontally in a direction parallel to the x-axis.\r<BR>\n" );
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document.write( "y represents the distance the line travels vertically in a direction parallel to the y-axis.\r<BR>\n" );
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document.write( "for example, if you look at the point (4,23) and the point (3,18), you will see that the point (4,23) is 1 unit to the right and 5 units up from the point (3,18).\r<BR>\n" );
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document.write( "the difference in the x-coordinates is 4 - 3 = 1<BR>\n" );
document.write( "the difference in the y-coordinates is 23 - 18 = 5\r<BR>\n" );
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document.write( "the value of x went up 1 and the value of y went up 5.\r<BR>\n" );
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document.write( "this is all according to the equation y = 5x + 3.\r<BR>\n" );
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document.write( "when x was 3, the value of y was 18.<BR>\n" );
document.write( "then x was 4, the value of y was 23.\r<BR>\n" );
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document.write( "the value of x went up 1.<BR>\n" );
document.write( "the value of y went up 5.\r<BR>\n" );
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document.write( "on the graph, the value of x going up 1 unit means going to the right 1 unit.<BR>\n" );
document.write( "on the graph, the value of y going up 5 units means going up 5 units.\r<BR>\n" );
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