document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61629>Question 61629</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Voter turnout in the preceding 10 years can be modeled by the function N(t) = 12432 + 11t - t2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 8?\r<BR>\n" );
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document.write( "Find the average rate of change for f(x) = 2x - x3 from x = 3 to x = 8. (2 decimal places)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42432 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=42432\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Voter turnout in the preceding 10 years can be modeled by the function N(t) = 12432 + 11t - t^2 where N is the number of voters and t is measured in years. What was the rate of change in the number of voters for year 8? <BR>\n" );
document.write( "Find the average rate of change for f(x) = 2x - x^3 from x = 3 to x = 8. (2 decimal places) <BR>\n" );
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document.write( "N'(t)=11-2t<BR>\n" );
document.write( "N'(8)=11-2(8)=11-16=-5<BR>\n" );
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document.write( "Ave rate of change = [f(2)-f(3)]/[2-3]<BR>\n" );
document.write( "=[(2*2-2^3)-(2*3-3^3)]/(-1)<BR>\n" );
document.write( "=[-4+3]/(-1)<BR>\n" );
document.write( "=1<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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