Question 470981


If {{{x}}} varies directly as {{{y}}}, and if {{{x=24}}} when {{{y=8}}}, to find {{{x}}} when {{{y=9}}} use this formula:


{{{y = kx}}}

Substitute {{{x=24}}} and {{{y=8}}} to find {{{k}}},

{{{8 = k*24}}}

{{{k = 8/24}}}

{{{k = 1/3}}}

So the equation is,

{{{y = (1/3)x}}}

Now, substitute {{{y = 9}}} to find {{{x}}}:

{{{9 = (1/3)x}}}

{{{x = 27}}}