document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105216>Question 1105216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help with this math problem. I have to state the domain and range, the y-intercept, and say whether or not it's a function:\r<BR>\n" );
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document.write( "Jordon weighs 160 lbs. By lifting weights each month for a year, he continually gains weight until he is 200 lbs.\r<BR>\n" );
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document.write( "{x|<BR>\n" );
document.write( "{y|<BR>\n" );
document.write( "y-int:<BR>\n" );
document.write( "Function - yes or no\r<BR>\n" );
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document.write( "I think that the y-intercept is (0, 160) and I think that it is a function because it is a linear equation because he is continually gaining weight each month. I am not sure what the domain and range would be nor am I clear on what the equation would look like. I think the range would be {y| 160 &#8805; x &#8804; 200}. Would the domain be {x| x >0} ?\r<BR>\n" );
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document.write( "Could you please help.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720006 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=720006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Could you please help with this math problem. I have to state the domain and range, the y-intercept, and say whether or not it's a function:<BR>\n" );
document.write( "Jordon weighs 160 lbs. By lifting weights each month for a year, he continually gains weight until he is 200 lbs.<br><BR>\n" );
document.write( "The thing being watched is Jordon's weight as time goes by for a year.  We don't know whether his weight gain is linear; we only know it is 160 at the beginning of the year and 200 at the end.  So...<br><BR>\n" );
document.write( "domain: His weight is being monitored over the course of a year; however, it is not clear what the domain should be, because we don't know how often his weight if begin measured.  But the problem says he is \"lifting weights each month for a year\", which IMPLIES that \"months\" should be the unit in the x direction on the graph.  Since he is monitoring his weight for 1 year (12 months), the domain is [0,12].  Of course the domain will be different if he continues to monitor his weight after the one year.<br><BR>\n" );
document.write( "range: From his beginning weight to his ending weight -- [160,200].  Since the problem doesn't say he gains weight at a constant rate, we can't be sure that is the right answer.  At the beginning of the year, he might have dipped below 160 for some reason initially; and/or at the end of the year he might have gone a bit over 200.  So we can't be sure [160,200] is the actual range -- but it's the only answer we can give with the given information.<br><BR>\n" );
document.write( "y-intercept: His weight at the beginning, 160.<br><BR>\n" );
document.write( "function?: Yes; at any time during the year he only had one weight.<br><BR>\n" );
document.write( "You say you don't know what the equation would be; and in fact we don't know what it would be, because we don't know that his weight gain was at a constant rate (and in reality it is very unlikely that it was).<br><BR>\n" );
document.write( "Finally a note about how you show one of your answers....  The statement <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%3E=x%3C=200 ALIGN=MIDDLE  ALT=\"160%3E=x%3C=200\"   DISABLED_style= \"max-width:90%; height:auto;\" > does not say what you want it to.  You want it to say that x is greater than or equal to 160 and less than or equal to 200; but the way you write it says it is less than 160 and less than 200 -- which not only doesn't make sense, it is also wrong.  The correct way of writing that answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%3C=x%3C=+200 ALIGN=MIDDLE  ALT=\"160%3C=x%3C=+200\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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