document.write( "Question 254942: The body mass index, I, can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model. I=700W/H2, where W=weight, in pounds, and H=height, in inches. Jerome is 67 inches tall. What weights will keep his body mass index between 23 and 33?
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Algebra.Com's Answer #187322 by Theo(13342)![]() ![]() You can put this solution on YOUR website! I = 700*W/H2 \n" ); document.write( "W = weight in pounds \n" ); document.write( "H = height in inches\r \n" ); document.write( "\n" ); document.write( "< 25 = low risk\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I presume when you says H2, you mean \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jerome is 67 inches tall.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the formula to work with is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute 67 for h to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In order for his index to be between 23 and 33, this formula needs to be modified as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "for greater than or equal to 23, the formula is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by (67)^2 = 4489 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 700 to get\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for W to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W >= 147.4957143\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Similarly, the second equation of:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solve for W to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "W <= 211.6242857\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To the nearest tenth of a pound, Jerome needs to keep his weight between 147.5 and 211.6 pounds in order to keep his index between 23 and 33.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |