document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147701>Question 147701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can I have some help me with this problem?\r<BR>\n" );
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document.write( "Single Women - The precentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 by year 30.\r<BR>\n" );
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document.write( "a) Find and interpret the slope of the line through the points (0,55) and (30,73).<BR>\n" );
document.write( "b) Find the equation of the line in the (a).<BR>\n" );
document.write( "c) What is the meaning of the y-intercept?<BR>\n" );
document.write( "d) Use the equation to predict the percentage in 2010.<BR>\n" );
document.write( "e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108066 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=108066\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Single Women - The precentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 by year 30. <BR>\n" );
document.write( "a) Find and interpret the slope of the line through the points (0,55) and (30,73).<BR>\n" );
document.write( "slope = (73-55)/(30-0) = 18/30 = 3/5<BR>\n" );
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document.write( "b) Find the equation of the line in (a).<BR>\n" );
document.write( "y = (3/5)x + 55<BR>\n" );
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document.write( "c) What is the meaning of the y-intercept?<BR>\n" );
document.write( "The percent of women who did not marry in 1970 was 55%<BR>\n" );
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document.write( "d) Use the equation to predict the percentage in 2010.<BR>\n" );
document.write( "f(40) = (3/5)40 + 55 = 24+55 = 79%<BR>\n" );
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document.write( "e) If this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%<BR>\n" );
document.write( "100 = (3/5)x + 55<BR>\n" );
document.write( "45 = (3/5)x<BR>\n" );
document.write( "x = 75<BR>\n" );
document.write( "1970 + 75 years = the year 2045<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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