document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173512>Question 1173512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 110 students have signed up to play either soccer or basketball. A soccer team consists of 11 players and basketball has 5. The equation can be modeled by 11x+5y=110. where x is the number of soccer teams and y is the number of basketball teams. Write the equation so that the number of basketball y is a function of the number of soccer x. Describe the domain and range of the function.  WHat is the x intercept and y intercept? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #798723 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=798723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Solve <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 11x\ +\ 5y\ =\ 110\"> for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y\"> in terms of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">.  That is, add <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -11x\"> to both sides and divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 5\">\r<BR>\n" );
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document.write( "The domain of a function is the set of values of the independent variable for which the function is defined, or in this case, for which the function makes sense.  Here, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> cannot be less than zero because having a negative number of soccer teams would be absurd.  Furthermore, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\"> must be an integer because having a fraction of a soccer team is also ludicrous.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{11}{5}x\"> must be less than or equal to 22, otherwise, you would have a negative number of basketball teams. And, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{11}{5}x\ +\ 22\"> must be an integer to avoid having a fractional number of basketball teams.\r<BR>\n" );
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document.write( "The upshot is that there are only three numbers in the domain, and therefore only three numbers in the range.  Two of these points are the intercepts, and I leave it to you to figure out the exact values.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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