document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=697537>Question 697537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using exponential best-fit model for(2, 3.2) (5, 204.8) (7, 3276.68) what is the initial value  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #430194 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using exponential best-fit model for(2, 3.2) (5, 204.8) (7, 3276.68) what is the initial value<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Using the form<BR>\n" );
document.write( " Ao*a^x = A<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Assume that x=0 when A = 3.2, then when x=5, A=3276.68, find a<BR>\n" );
document.write( "3.2*a^5 = 3276.68<BR>\n" );
document.write( "a^5 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3276.68%2F3.2 ALIGN=MIDDLE  ALT=\"3276.68%2F3.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a^5 = 1023.96<BR>\n" );
document.write( "a = 1023.96^(1/5); find the fifth root<BR>\n" );
document.write( "a ~ 4<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A = 3.2*4^(x-2) <BR>\n" );
document.write( "Produces the data as follows<BR>\n" );
document.write( "2, 3.2<BR>\n" );
document.write( "5, 204.8<BR>\n" );
document.write( "7, 3276.8<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the initial amt x=0<BR>\n" );
document.write( "A = 3.2*4^(0-2)<BR>\n" );
document.write( "A = 3.2*4^-2<BR>\n" );
document.write( "A = .2 is the initial amt<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Now we can write the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+.2%2A4%5Ex ALIGN=MIDDLE  ALT=\"A+=+.2%2A4%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >, almost a perfect fit<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );