document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454557>Question 454557</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation to model the data<BR>\n" );
document.write( "x   y<BR>\n" );
document.write( "0   30<BR>\n" );
document.write( "1   15<BR>\n" );
document.write( "2   7.5<BR>\n" );
document.write( "3   3.75<BR>\n" );
document.write( "4   1.85<BR>\n" );
document.write( "What kind of function best models the data? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312106 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=312106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Each function value is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{2}\"> the previous, so the function should contain the factor <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(\frac{1}{2}\right)^x\">.  The function value when <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\ =\ 0\"> is 30 but we know that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(\frac{1}{2}\right)^0\ =\ 1\">, hence the function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ 30\left(\frac{1}{2}\right)^x\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28%0D%0A500%2C+500%2C+-2%2C10%2C-2%2C31%2C%0D%0Agrid%281%29%2C%0D%0Acircle%280%2C30%2C0.1%29%2C%0D%0Acircle%281%2C15%2C0.1%29%2C%0D%0Acircle%282%2C7.5%2C0.1%29%2C%0D%0Acircle%283%2C3.75%2C0.1%29%2C%0D%0Acircle%284%2C1.875%2C0.1%29%2C%0D%0Ablue%28graph%28%0D%0A500%2C+500%2C+-2%2C10%2C-2%2C31%2C%0D%0A30%2A%281%2F2%29%5Ex%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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