document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1131533>Question 1131533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation to represent the data shown in the table below.\r<BR>\n" );
document.write( "\n" );
document.write( " x | y<BR>\n" );
document.write( "-2 , 152<BR>\n" );
document.write( "-1 , 76<BR>\n" );
document.write( " 0 , 38<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #748242 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=748242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Continuing the response from tutor @alan3354, there are also an infinite number of polynomial equations that are satisfied by the three given data points.<br><BR>\n" );
document.write( "However, since the value is cut in half for each increase of 1 in the x value, an exponential function would seem the most appropriate:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+ab%5Ex ALIGN=MIDDLE  ALT=\"y+=+ab%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "The constant factor in the given sequence is 1/2 or 0.5:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28.5%29%5Ex ALIGN=MIDDLE  ALT=\"y+=+a%28.5%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "When x is 0, y is 38:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=38+=+a%28.5%29%5E0+=+a ALIGN=MIDDLE  ALT=\"38+=+a%28.5%29%5E0+=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "So the exponential function for the given points is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+38%28.5%29%5Ex ALIGN=MIDDLE  ALT=\"y+=+38%28.5%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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