document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=144491>Question 144491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi. I'm stuck on a word problem. Could someone please help me? Thank you in advance!!\r<BR>\n" );
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document.write( "In 1993 the life expectancy of males was 63.7 years. In 1999, it was 66.8. Let E represent the life expectancy in years and let t represent number of years since 1993.  \r<BR>\n" );
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document.write( "I need to write a linear equation that fits the data. E(t)= ___t + ___\r<BR>\n" );
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document.write( "Also I need to use the function to predict the life expectancy of males in 2007.<BR>\n" );
document.write( "E(14)=____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #105247 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=105247\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are given two points, so first find the slope between them.\r<BR>\n" );
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document.write( "slope = (y2 - y1)/(x2 - x1)<BR>\n" );
document.write( "slope = (66.8 - 63.7)/(1999 - 1993)<BR>\n" );
document.write( "slope = 3.1/6 = 0.516\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E%28t%29+=+0.516t+%2B+63.7+ ALIGN=MIDDLE  ALT=\"E%28t%29+=+0.516t+%2B+63.7+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an equation for a line that represents the life expectancy of a males, where t is the number of years starting at 1993.\r<BR>\n" );
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document.write( "So, using this equation, we see that in 1193, t = 0  (year - 1993)<BR>\n" );
document.write( "This yields 63.7\r<BR>\n" );
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document.write( "In the year 1999, t = (1999-1993) = 6<BR>\n" );
document.write( "E(6) = 0.516(6) + 63.7 = 66.8\r<BR>\n" );
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document.write( "Now let's assume the same model is OK through 2007. t = (2007 - 1993) = 14<BR>\n" );
document.write( "E(14) = 0.516*14 + 63.7<BR>\n" );
document.write( "E(14) = 70.924\r<BR>\n" );
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document.write( "Make sense?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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