Question 213207
Assume that y varies directly as x. Find y when x=54 if y=1/4 when x=3/2.


Step 1.  y/x = constant  since y varies directly as x.


Step 2.  y=1/4 at x=3/2.  So constant is {{{y/x=(1/4)/(3/2)=(1/4)(2/3)=1/6}}}


Step 3.  Then at x=54, then {{{y/54=1/6}}}


{{{y=54(1/6)=9}}}


Step 4.  As a check {{{y/x=9/54=1/6}}}



I hope the above steps were helpful.


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Good luck in your studies!


Respectfully,
Dr J