document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227860>Question 227860</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y varies directly with x, y=65 when x=5. find y when x=12. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169266 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for for y varies directly with x is:\r<BR>\n" );
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document.write( "y = k*x\r<BR>\n" );
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document.write( "when y = 65, x = 5, so your equation becomes:\r<BR>\n" );
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document.write( "65 = 5*k\r<BR>\n" );
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document.write( "solve for k and you get k = 13 because 13 * 5 = 65.\r<BR>\n" );
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document.write( "question was find y when x = 12.\r<BR>\n" );
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document.write( "equation of y = k*x becomes y = 13 * 12 = 156.\r<BR>\n" );
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document.write( "you have y = 156 when x = 13.\r<BR>\n" );
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document.write( "we solved this using the formula y = k*x.\r<BR>\n" );
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document.write( "we could also have solved this by using the ratio equation of:\r<BR>\n" );
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document.write( "5/65 = 12/y\r<BR>\n" );
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document.write( "cross multiply to get 5*y = 12*65\r<BR>\n" );
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document.write( "divide both sides of this equation by 5 to get:\r<BR>\n" );
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document.write( "y = 12*65/5 which becomes y = 12*13 which becomes y = 156\r<BR>\n" );
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document.write( "This website has the formulas for variation that you would need.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/variatn.htm\" target = \"_blank\">Direct and Inverse Variation Formulas plus Others</a>\r<BR>\n" );
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