If y varies inversely as x, and y = 3 as x = -2, how do you find y for the x-value of -1?

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Answer 1 · 2016-04-03T10:34:46

#y=6#

If #y# varies inversely as #x#, #x xxy=k# a constant.

As #y=3# when #x=-2#,

#x xxy=(-2)xx3=-6# and hence #k=-6#

or #x xxy=-6#

Hence, when #x=-1#,

#(-1)xxy=-6# or

#y=-(6)/(-1)=6#