Assume that y varies directly as x. If y = 4 when x = 0.5, how do you find y when x = 2?

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Answer 1 · 2016-04-16T11:38:25

At #x=2" ; "y=16#

Let #k# be the constant of variation then we have:

#y=kx#

Given condition #y=4 ; x=1/2#

#=>4=kxx1/2#

Multiply both sides by 2

#=>8=kxx1#

#k=8#

So we have

#y=8x#
'~~~~~~~~~~~~~~~~~~~~~~~~~~
Suppose #x=2# then we have

#y=8xx2=16#