document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176348>Question 176348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Age at first marriage. The median age at first marriage for<BR>\n" );
document.write( "females increased from 24.5 years in 1995 to 25.1 years in<BR>\n" );
document.write( "2000 (U.S. Census Bureau, www.census.gov). Let 1995 be<BR>\n" );
document.write( "year 5 and 2000 be year 10.<BR>\n" );
document.write( "a) Find the equation of the line through (5, 24.5) and<BR>\n" );
document.write( "(10, 25.1).<BR>\n" );
document.write( "b) What do x and y represent in your equation?<BR>\n" );
document.write( "c) Interpret the slope of this line.<BR>\n" );
document.write( "d) In what year will the median age be 30?<BR>\n" );
document.write( "e) Graph the equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131601 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=131601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Age at first marriage. The median age at first marriage for<BR>\n" );
document.write( "females increased from 24.5 years in 1995 to 25.1 years in<BR>\n" );
document.write( "2000 (U.S. Census Bureau, www.census.gov). Let 1995 be<BR>\n" );
document.write( "year 5 and 2000 be year 10.<BR>\n" );
document.write( ";<BR>\n" );
document.write( "a) Find the equation of the line through (5, 24.5) and<BR>\n" );
document.write( "(10, 25.1).<BR>\n" );
document.write( "find the slope (m); <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825.1-24.5%29%2F%2810-5%29 ALIGN=MIDDLE  ALT=\"%2825.1-24.5%29%2F%2810-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.6%2F5 ALIGN=MIDDLE  ALT=\".6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > .12<BR>\n" );
document.write( "point/slope equation: <BR>\n" );
document.write( "y - 24.5 = .12(x - 5)<BR>\n" );
document.write( "y - 24.5 = .12x - .6<BR>\n" );
document.write( "y = .12x - .6 + 24.5<BR>\n" );
document.write( "y = .12x + 23.9<BR>\n" );
document.write( ";<BR>\n" );
document.write( "b) What do x and y represent in your equation?<BR>\n" );
document.write( "x = year, y = age of marriage<BR>\n" );
document.write( ";<BR>\n" );
document.write( "c) Interpret the slope of this line.<BR>\n" );
document.write( "you should be able do this<BR>\n" );
document.write( ";<BR>\n" );
document.write( "d) In what year will the median age be 30?<BR>\n" );
document.write( ".12x + 23.9 = 30<BR>\n" );
document.write( ".12x = 30 - 23.9<BR>\n" );
document.write( ".12x = 6.1<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.1%2F.12 ALIGN=MIDDLE  ALT=\"6.1%2F.12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 50.83 ~ 51 yrs which would be about 2041 (1990 is yr 0)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "e) Graph the equation. graph y = .12x + 23.9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-20%2C+60%2C+-10%2C+35%2C+.12x%2B23.9%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-20%2C+60%2C+-10%2C+35%2C+.12x%2B23.9%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );