document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118675>Question 1118675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the annual cost per active-duty armed service member in a certain country increased from $80,000 in 1995 to $90,000 in 2000. In 1990, there were 2 million armed service personnel and this number decreased to 1.5 million in 2000. Use linear models for annual cost and personnel to estimate, to the nearest $10 million, the rate of change of total military personnel costs in 1998.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734052 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=734052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You may want linear models.  \r<BR>\n" );
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document.write( "This is not a complete solution, but just a way to start analyzing the description.  You want some data points.\r<BR>\n" );
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document.write( "Year  Set to time 0=1990    Price Per Person/Service Member   POINTS (t,p)\r\n" );
document.write( "1995          5                80000                        (5, 80000)\r\n" );
document.write( "2000          10               90000                        (10, 90000)\r\n" );
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document.write( "Year         time 0=1990         Number of Service Members    POINTS (t, n)\r\n" );
document.write( "1990            0                 2000000                    (0,2000000)\r\n" );
document.write( "2000           10                 1500000                   (10,1500000)\r\n" );
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document.write( "You use each pair of points to get linear equations for each.  Next, COST would be price multiplied by number of members, or   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2An ALIGN=MIDDLE  ALT=\"p%2An\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Be careful to notice, the two first sets of data points are based on a different time point value; so you may need to compute the needed price  to use for getting cost or Number of Members equation.\r<BR>\n" );
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document.write( "The actual question is about year 1998, for when t=8. </SPAN>\n" );
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