document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=838393>Question 838393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP PLEASE!!! : In 2000 the united states recovered 35% of its municipal solid wastes through recycling, up from 27% in 1990. Let \"P\" represent the percentage recycled and \"t\" the number of years since 1990. Find two sets of data points (t,p) and a linear function P(t) that fits this data.<BR>\n" );
document.write( "Also use the same function to predict the percentage recycled in 2010? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #505324 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=505324\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In 2000 the united states recovered 35% of its municipal solid wastes through recycling, up from 27% in 1990.<BR>\n" );
document.write( " Let \"P\" represent the percentage recycled and \"t\" the number of years since 1990.<BR>\n" );
document.write( " Find two sets of data points (t,p) and a linear function P(t) that fits this data.<BR>\n" );
document.write( "Also use the same function to predict the percentage recycled in 2010?<BR>\n" );
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document.write( "From the given information, we have two data points<BR>\n" );
document.write( "0 (representing yr 1990) and 27 representing the percent recycled that yr)<BR>\n" );
document.write( "10 (representing yr 2000) and 35 representing the percent<BR>\n" );
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document.write( "Assign the values as follows<BR>\n" );
document.write( "x1=0, y1=27<BR>\n" );
document.write( "x2=10, y2=35<BR>\n" );
document.write( "Find the slope using the formula m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835-27%29%2F%2810-0%29 ALIGN=MIDDLE  ALT=\"%2835-27%29%2F%2810-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F10 ALIGN=MIDDLE  ALT=\"8%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .8 is the slope<BR>\n" );
document.write( "Find the equation using the point/slope formula y - y1 = m(x-x1)<BR>\n" );
document.write( "y - 27 = .8(x-0)<BR>\n" );
document.write( "y = .8x + 27 is our linear equation, written here as<BR>\n" );
document.write( "p = .8t + 27<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"use the same function to predict the percentage recycled in 2010\"<BR>\n" );
document.write( "p = .8t + 27<BR>\n" );
document.write( "t is the number of years from 1990, therefore:<BR>\n" );
document.write( "p = .8(20) + 27<BR>\n" );
document.write( "p = 16 + 27<BR>\n" );
document.write( "p = 43% recycled in 2010<BR>\n" );
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