document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=995774>Question 995774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I do this problem?<BR>\n" );
document.write( " “Safety, Ethical Considerations, and Application Guidelines for the Use of Transcranial Magnetic Stimulation (TMS) in Clinical Practice and Research” (Rossi, Hallett, Rossini, Pascual-Leone, Clinical Neurophysiology , Vol 120 Issue 12 (Dec 2009)) reports that the number of research papers addressing TMS was 30 in 1986.  That number climbed to 3000 by 2008. <BR>\n" );
document.write( "(a) Which of the following linear equations could be used to predict TMS research papers published y by given year x, where x = 0 represents year 1986?    Explain/show work.           <BR>\n" );
document.write( " A.     y  =  135x + 1986      C.  y  =  0.0074x + 1986                      B.     y  =  135x + 30      D.  y  =  0.0074x + 30    <BR>\n" );
document.write( "(b) Use the equation from part (a) to predict number of TMS research papers published by the year 2024.  Round answer to nearest whole number.  Show work.     <BR>\n" );
document.write( "(c) Fill in the blanks to interpret the slope of the equation: The rate of change of TMS research papers published with respect to time is  ______________________   per  ________________.  (Include units of measurement.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #614448 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=614448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ordered pairs (0,30), (22,3000)<BR>\n" );
document.write( "slope is 2970/22 = 135<BR>\n" );
document.write( "point slope formula<BR>\n" );
document.write( "y-30=135(x)<BR>\n" );
document.write( "y=135x+30<BR>\n" );
document.write( "=======<BR>\n" );
document.write( "There are 16 years to 2024 from 2008, and the slope of 135 is the number of papers (increase) per year.  That answers the last question.<BR>\n" );
document.write( "135*16=2160<BR>\n" );
document.write( "The predicted papers would be 3000+2160=5160<BR>\n" );
document.write( "========<BR>\n" );
document.write( "alternatively, in 2024, x becomes 38<BR>\n" );
document.write( "135*38=5130<BR>\n" );
document.write( "y=5160. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );