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does the relation in the table represent direct variation inverse variation or neither

Does the relation in the table represent direct variation inverse variation or neither? If it is a direct or inverse variation, write an equation to represent the relation.
(x,y)
(5,2)
(10,1)
(15,2/3)
(20,1/2)

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asked by Sally
Oct 17, 2016
It looks like inverse,

x doubled from the 1st to second point and y became 1/2 as much.

from 5 to 15 tripled
2 to 2/3 became 1/3

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posted by John
Oct 17, 2016
following up on John’s observation, let

y = k/x
for (5,2)
2 = k/5
k = 10

y = 10/x

check for (10,1)
is 1 = 10/10, yes
check for the last one: (20, 1/2)
is 1/2 = 10/20 , yes

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posted by Reiny
Oct 17, 2016
clearly, xy=10

that’s inverse variation.

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posted by Steve
Oct 17, 2016