document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=322168>Question 322168</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Torricelli’s Law A cylindrical tank contains 100 gallons<BR>\n" );
document.write( "of water. A plug is pulled from the bottom of the tank<BR>\n" );
document.write( "and the amount of water in gallons remaining in the tank<BR>\n" );
document.write( "after x minutes is given by\r<BR>\n" );
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document.write( "A(x) = 100(1-x/5)^2\r<BR>\n" );
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document.write( "(a) Calculate the average rate of change of A from 1 to<BR>\n" );
document.write( "1.5 and from 2 to 2.5. Interpret your results.<BR>\n" );
document.write( "(b) Are the two average rates of change the same or different?<BR>\n" );
document.write( "Explain why. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230673 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=230673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A(x) = 100(1-x/5)^2 \r<BR>\n" );
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document.write( "(a) Calculate the average rate of change of A <BR>\n" );
document.write( "from 1 to 1.5<BR>\n" );
document.write( "= [A(1.5)-A(1)]/[1.5-1] = [49-64]/[0.5] = -30<BR>\n" );
document.write( "this is the slope of the secant from 1 to 1.5<BR>\n" );
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document.write( "from 2 to 2.5<BR>\n" );
document.write( "= [A(2.5)-A(2)]/[2.5-2] = [25 - 36]/0.5 = -22<BR>\n" );
document.write( "this is the slope of the secant from 2 to 2.5<BR>\n" );
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document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( ". Interpret your results.<BR>\n" );
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document.write( "(b) Are the two average rates of change the same or different?<BR>\n" );
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