document.write( "Question 1163992: Acetaminophen is a medicine used to relieve pain and reduce fevers. However, when administering acetaminophen to infants and children, the dosage must be controlled carefully. Otherwise, there could be fatal consequences, such as kidney failure. The dosage usually varies directly as the weight of the child. When a baby weighs 25 pounds, the recommended dosage is 160 mg. Using the previous information, what
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document.write( "would the recommended dosage for a child who weighs 75 pounds?
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document.write( "(Is this a direct variation problem or an inverse variation problem? What key words in each problem tell you that it is either a direct variation or inverse variable problem?)
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Algebra.Com's Answer #788276 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Ikeyn uses the ratio and proportion method to teach direct variation. It is\r\n" ); document.write( "correct, but it is not the way variation is taught in schools, nor is it the\r\n" ); document.write( "way it should be taught. That's because there are more than just one kind\r\n" ); document.write( "of variation. There are several kinds of variation, and all these types are\r\n" ); document.write( "covered together, so the approaches to them all should show as much similar\r\n" ); document.write( "as possible. \r\n" ); document.write( "\r\n" ); document.write( "Ikleyn should strive to stick to the methods taught in schools rather than\r\n" ); document.write( "methods we teachers and tutors with more mathematical maturity might think\r\n" ); document.write( "of. But a struggling student would not think of them. \r\n" ); document.write( " \r\n" ); document.write( "Ikleyn should watch videos such as these to learn the standard way variation\r\n" ); document.write( "is taught in schools.\r\n" ); document.write( "\r\n" ); document.write( "https://www.youtube.com/watch?v=mwPHQLtKf1Q\r\n" ); document.write( "\r\n" ); document.write( "https://www.youtube.com/watch?v=nZO5GEaunr4\r\n" ); document.write( "\r\n" ); document.write( "https://www.youtube.com/watch?v=FpsS0jyZCgA\r\n" ); document.write( "\r\n" ); document.write( "https://www.youtube.com/watch?v=hCOVwaEoqwA\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "DIRECT VARIATION:\r\n" ); document.write( "y varies directly as x \r\n" ); document.write( "y varies as x\r\n" ); document.write( "y is directly proportional to x \r\n" ); document.write( "\r\n" ); document.write( "These begin with y = kx \r\n" ); document.write( "\r\n" ); document.write( "----------------------- \r\n" ); document.write( "\r\n" ); document.write( "INVERSE VARIATION:\r\n" ); document.write( "\r\n" ); document.write( "y varies inversely as x\r\n" ); document.write( "y is inversely proportional to x\r\n" ); document.write( "\r\n" ); document.write( "These begin with y = k/x\r\n" ); document.write( "\r\n" ); document.write( "-----------------------\r\n" ); document.write( "\r\n" ); document.write( "JOINT VARIATION:\r\n" ); document.write( "\r\n" ); document.write( "y varies jointly as x and z \r\n" ); document.write( "y is jointly proportional to x and z \r\n" ); document.write( "\r\n" ); document.write( "These begin with y = kxz\r\n" ); document.write( "\r\n" ); document.write( "-----------------------\r\n" ); document.write( "COMBINED VARIATION:\r\n" ); document.write( "\r\n" ); document.write( "y varies directly as x and inversely as z\r\n" ); document.write( "y is directly proportional to x and inversely proportional to z\r\n" ); document.write( "\r\n" ); document.write( "These begin with y= kx/z\r\n" ); document.write( "\r\n" ); document.write( "y varies jointly as x and z and inversely as u and v \r\n" ); document.write( "\r\n" ); document.write( "These are y = kxz/(uv)\r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The key words for direct variation are:\r\n" ); document.write( "\r\n" ); document.write( "\"varies as\", \r\n" ); document.write( "\"varies directly as\", \r\n" ); document.write( "\"is proportional to\",\r\n" ); document.write( "\"is directly proportional to\"\r\n" ); document.write( "\r\n" ); document.write( "Direct variation problems are of the form:\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |