A variable #y# varies directly with the square of #x#. If #x=3# when #y=6#, what is the constant of proportionality, #k#?

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Answer 1 · 2018-04-30T16:29:25

The constant proportionality #k=2#

Given -

#x=3#
#y=6#

y varies directly with x, then

#y=k.x#

Substituting the values, we get -

#6=k.3#

By transpose we get -

#k.3=6#

#k=6/3=2#

The constant proportionality #k=2#