Question 985116


if the variables {{{x}}} and {{{y}}} vary directly,then {{{y = kx}}}

use the given values
{{{x = 1/2) and {{{y = 6}}}

replace {{{x}}} and {{{y}}} in {{{y = kx}}} to find {{{k}}}

{{{6 = k(1/2)}}}

{{{6/(1/2) = k}}}

{{{12 = k}}}

so, equation is {{{highlight(y = 12x)}}}


if the variables {{{x}}} and {{{y}}} vary  inversely,then {{{y = k/x}}}

then {{{6 = k/(1/2)}}}

{{{6(1/2) = k}}}

{{{ k=3}}} and equation is {{{highlight(y = 3/x)}}}