document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173606>Question 1173606</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Economic Downturn:A general trend of economic decline within Newyork city is reflected by fig.5.11. This figure indicates the vacancy rate for offices in Manhattan during the period 1985-1990.the increase in the vacancy rate appears to be approximately linear .The vacancy rate in 1986 was 9.4percent;in 1989,the rate was 13.2 percent.Using these two data points:<BR>\n" );
document.write( "(a)Determine the linear function V=f(t),where V equal the estimated vacancy rate in percent and t equal time measured in years since 1985.<BR>\n" );
document.write( "(b)Intterpret the slope and V  interpret<BR>\n" );
document.write( "(c)Using the function,estimate the vacancy rate in 1995<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798865 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=798865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1986 will be (1, 9.4), having the x-value = the year-1985<BR>\n" );
document.write( "1989 is (4, 13.2)<BR>\n" );
document.write( "point-slope formula y-y1=m(x-x1) m slope and (x1, y1) a point.<BR>\n" );
document.write( "Slope is 3.8/3<BR>\n" );
document.write( "therefore, y-9.4=(38/30)(x-1)<BR>\n" );
document.write( "so y=(38/30)x+8.1333<BR>\n" );
document.write( "or V=1.27x+8.13 rounded units % vacant<BR>\n" );
document.write( "The slope of 1.27% is the increase in the %vacancy per year.<BR>\n" );
document.write( "The 8.13% was the vacancy at year 0, or 1985.<BR>\n" );
document.write( "in 1995, x=10 and V=12.67+8.13=20.80% vacant.\r<BR>\n" );
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