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Jiinkz
Jiinkz Jiinkz
  • 21-02-2017
  • Mathematics
Answered

Suppose that y varies inversely with x. Write an equation for the inverse variation.

y = 4 when x = 7

Verified Answer :

lazieriachappel
lazieriachappel lazieriachappel
  • 21-02-2017

If y varies inversely as x, then we write it as:
y = k/x

where k is some constant.

If we multiply both sides of this equation by x we get an equation for k:
k = xy

We are given that y=4 when x=7, therefore:
k = 7
4 = 28

Put this back into our original equation to get:
y = 28/x

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