varies directly means
if y varies directly as x that means
y=kx where k is a constant
so
y=kx
y=2 and 2/3 when y=1/4 then find k
convert 2 and 2/3 to imporoper fraction for ease
2 and 2/3=6/3+2/3=8/3
8/3=k(1/4)
multiply both sides by 4/1 to clear fraction
32/3=k
so now we have
y=(32/3)x
when x=1 and 1/8
find y
convert 1 and 1/8 to imporopor=9/8
y=(32/3)(9/8)
y=(288)/(24)
y=12