document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478771>Question 478771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Number of Farms<BR>\n" );
document.write( "The number N of farms in the united States has declined continually since 1950. In 1950 there were 5,650,000 farms and in 2004 that number had decreased to 2,110,000.<BR>\n" );
document.write( "A. Find the value of k, and write an exponential function that describes the number of farms after time t, in years, where t is the number of years since 1950.<BR>\n" );
document.write( "B. estimate the number of farms in 2006 and 2009? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328040 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328040\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> year							<BR>\n" );
document.write( "1950		5650000	farms				<BR>\n" );
document.write( "2004		2110000	farms				<BR>\n" );
document.write( "Difference							<BR>\n" );
document.write( "54		-3540000					<BR>\n" );
document.write( "Increase in life expectancy per year =			-3540000	/	54	=	-65555.56<BR>\n" );
document.write( "							<BR>\n" );
document.write( "K(t)=	5650000	+	-65555.556	t 			<BR>\n" );
document.write( "							<BR>\n" );
document.write( "2006	t=	56					<BR>\n" );
document.write( "							<BR>\n" );
document.write( "K(t)=	5650000	+	-65555.556	*	56		<BR>\n" );
document.write( "							<BR>\n" );
document.write( "K (	56	)=	1978888.89	farms	<BR>\n" );
document.write( "In 2006 it is expected to be 1,978,889 		<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );