Suppose y varies inversely as x. If y = 2 when x = 14, how do you find y when x = 7?

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Answer 1 · 2016-05-31T04:24:32

#y=4#

Inverse Variation uses the equation #y = k/x#

Where #k# is the constant of variation.

For this problem we will use the #y# and #x# to solve for the #k#, constant of variation.

#y=2#
#x=14#

#2 = k/14#

#14 (2) = k/cancel14 (cancel14)#

#k = 28#

Now we solve for the #y# when the #x# is #7#

#y=28/7#

#y=4#