document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119906>Question 1119906</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Electricity is consumed between the hours of midnight (t = 0) and 6 a.m. (t = 6). Selected values of the rate of consumption are shown in the table below, with t measured in hours past midnight, and R(t) measured in KW per hour. Use 4 trapezoids to estimate the total amount of electricity to the nearest KW consumed between midnight and 6 a.m. <BR>\n" );
document.write( "t (hours)        0    1     2       5   6 <BR>\n" );
document.write( "R(t) KW/hr 400 200 350 200 150 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #735738 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=735738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The area of a trapezoid is (height) times (average of the two bases).  When used in a problem like this to estimate a total, the height of each trapezoid is the length of the time interval; the two bases are the consumption values at the ends of the time interval.<br><BR>\n" );
document.write( "(1) midnight to 1am: 1 hour; average consumption (400+200)/2 = 300 KW/hr; total consumption 300 KW.<BR>\n" );
document.write( "(2) 1am to 2am: 1 hour; average consumption (200+350)/2 = 275 KW/hr; total consumption 275 KW.<BR>\n" );
document.write( "(3) 2am to 5am: 3 hours; average consumption (350+200)/2 = 275 KW/hr; total consumption 825 KW.<BR>\n" );
document.write( "(4) 5am to 6am: 1 hour; average consumption (200+150)/2 = 175 KW/hr; total 175 KW.<br><BR>\n" );
document.write( "Total estimated power consumption: 300+275+825+175 = 1575 KW. </SPAN>\n" );
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