document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972982>Question 972982</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A surface receiving sound is moved from its original position to a position three times farther away from the source of the sound. The intensity of the received sound thus becomes<BR>\n" );
document.write( "A. three times as low.<BR>\n" );
document.write( "B. three times as high.<BR>\n" );
document.write( "C. nine times as high.<BR>\n" );
document.write( "D. nine times as low. \r<BR>\n" );
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document.write( "I think it may be C nine times as high </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595294 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Sound varies with the inverse of the square of the distance. A distance three times farther yields: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=intensity=1%2F%283%5E2%29 ALIGN=MIDDLE  ALT=\"intensity=1%2F%283%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=intensity=1%2F9 ALIGN=MIDDLE  ALT=\"intensity=1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The intensity at the new distance is 1/9 the original intensity.<BR>\n" );
document.write( "The given answers make no sense. Once you decrease an amount 1 time, nothing is left. I think the intended answer is D, but this, too, is wrong. If we take a quantity, say 1, and take nine times it we get 9. Now if we decrease the original 1 by nine times 1 we have 1-0=-8. So even answer D would imply after making the distance three times greater the sound intensity is -8 (if the original intensity is considered as 1). In general, the phrases \"three times as low\", \"three times smaller\", or \"three times less\" have no meaning. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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