document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1210621>Question 1210621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fill in the blanks to make a true statement.\r<BR>\n" );
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document.write( "The variables x and y are inversely proportional.  If x = 1, then y = 2.  And if x = 2, then y = ___.\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 #854427 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13355)</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=854427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Informally, two variables are inversely proportional if when one gets larger by some factor n the other gets smaller by that same factor.<br><BR>\n" );
document.write( "Using that concept, the value of x gets doubled from 1 to 2, so the value of y must be cut in half.  Half of 2 is 1.<BR>\n" );
document.write( "ANSWER: 1<br><BR>\n" );
document.write( "Formally, this is usually displayed like this: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=k%2Fx ALIGN=MIDDLE  ALT=\"y=k%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   With that, it is easily seen that when x get larger y gets smaller and when x gets smaller y get larger.<br><BR>\n" );
document.write( "In many (most) problems involving inverse proportion, the same relationship is more conveniently displayed as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy=k ALIGN=MIDDLE  ALT=\"xy=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > -- that is, the product of the two variables is constant.  Again with this representation it is easy to see that as one gets larger the other gets smaller and vice versa.<br><BR>\n" );
document.write( "With this interpretation, 1*2 = 2; then 2*y = 2 means y is 1.<BR>\n" );
document.write( "ANSWER: 1<br><BR>\n" );
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