document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180604>Question 180604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Variation Problem\r<BR>\n" );
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document.write( "A persons level of fatness is measured using the Body Mass Index, or BMI. A BMI ( rounded to the nearest whole number) in the low 20's is desirable. BMI varies directly a a persons weight in pounds and inversely as the square of the person height in inches. A person who weights 140 pounds and is 70 inches tall has a BMI of 20. Find the BMI of a person who weights 165 pounds and is 71 inches tall. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135370 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=135370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Variation Problem <BR>\n" );
document.write( "A persons level of fatness is measured using the Body Mass Index, or BMI. A BMI ( rounded to the nearest whole number) in the low 20's is desirable. BMI varies directly a a persons weight in pounds and inversely as the square of the person height in inches. A person who weights 140 pounds and is 70 inches tall has a BMI of 20. Find the BMI of a person who weights 165 pounds and is 71 inches tall.<BR>\n" );
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document.write( "direct variation: simply means if one variable rises the other rises and vice versa.<BR>\n" );
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document.write( "inverse variation: means if one variable rises the other falls and vice versa<BR>\n" );
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document.write( "lets call BMI B<BR>\n" );
document.write( "lets call weight W<BR>\n" );
document.write( "lets call height H<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BH%5E2%2FW=k ALIGN=MIDDLE  ALT=\"BH%5E2%2FW=k\"   DISABLED_style= \"max-width:90%; height:auto;\" > where k is the constant of variation<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2870%29%5E2%2F140=98000%2F140=700 ALIGN=MIDDLE  ALT=\"20%2870%29%5E2%2F140=98000%2F140=700\"   DISABLED_style= \"max-width:90%; height:auto;\" >....so k=700<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%2871%29%5E2%2F165=700 ALIGN=MIDDLE  ALT=\"B%2871%29%5E2%2F165=700\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....since H is increasing we would expect that to have a decreasing effect on B. W is increasing and will have an increasing effect on B. H isnt increasing by much but the weight is increasing quite a bit. So I suspect OVERALL this will have an increasing effect on B. Lets find out<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5041B=700%28165%29 ALIGN=MIDDLE  ALT=\"5041B=700%28165%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > multiplied both sides by 165 to eliminate the fraction and squared the height of 71<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5041B=115500 ALIGN=MIDDLE  ALT=\"5041B=115500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28B=22.91=23%29 ALIGN=MIDDLE  ALT=\"highlight%28B=22.91=23%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >to the nearest whole. Well there you have it increased just as we visualized. </SPAN>\n" );
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