document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089542>Question 1089542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have this set<BR>\n" );
document.write( "(100,1)<BR>\n" );
document.write( "(150,2)<BR>\n" );
document.write( "(300,3)<BR>\n" );
document.write( "(650,4)<BR>\n" );
document.write( "(1200,5)\r<BR>\n" );
document.write( "\n" );
document.write( "When plotted, they form a group which resembles a radical function ( y = sqrt(x) ). What is the specific formula for this radical function and how do I find it? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704145 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=704145\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I have this set<BR>\n" );
document.write( " (100,1)<BR>\n" );
document.write( " (150,2)<BR>\n" );
document.write( " (300,3)<BR>\n" );
document.write( " (650,4)<BR>\n" );
document.write( " (1200,5) <BR>\n" );
document.write( " When plotted, they form a group which resembles a radical function ( y = sqrt(x) ). What is the specific formula for this radical function and how do I find it?  <BR>\n" );
document.write( ":<BR>\n" );
document.write( "this looks more like a logarithmic function<BR>\n" );
document.write( "Using the form: a*log(x) + b = y find a & b using last and the first given values<BR>\n" );
document.write( "a*log(1200) + b = 5  and a*log(100)+b = 1, find the common log of each<BR>\n" );
document.write( "3.08a + b = 5 and 2a + b = 1<BR>\n" );
document.write( "Use elimination on these two equations to find a<BR>\n" );
document.write( "3.08a + b = 5<BR>\n" );
document.write( "2.00a + b = 1<BR>\n" );
document.write( "---------------subtraction eliminates b, find a<BR>\n" );
document.write( "1.08a = 4<BR>\n" );
document.write( "a = 4/1.08<BR>\n" );
document.write( "a = 3.7<BR>\n" );
document.write( "Find b using the equation<BR>\n" );
document.write( "3.08(3.7) + b = 5<BR>\n" );
document.write( "11.4 + b = 5<BR>\n" );
document.write( "b = 5 - 11.4 - 5<BR>\n" );
document.write( "b = -6.4<BR>\n" );
document.write( "The equation then<BR>\n" );
document.write( "f(x) = 3.7log(x) - 6.4<BR>\n" );
document.write( "this fits the data fairly closely<BR>\n" );
document.write( "100, 1.0<BR>\n" );
document.write( "150, 1.7<BR>\n" );
document.write( "300, 2.8<BR>\n" );
document.write( "650, 4.0<BR>\n" );
document.write( "1200, 5.0<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );