daminhenson4 daminhenson4
  • 24-07-2020
  • Mathematics
contestada

The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)

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redbudtree84 redbudtree84
  • 25-07-2020

Hi

An inverse variation is of the  form  :  f(x) = k/x  where k is a number  and x the variable.

In a inverse variation , the product of   x*y  is for all point always the same which is  K  

so  2*8 = 16    so K = 16  and  f(x) = 16/x

if x = 3  then   f(x) = 3   so :   16/x = 3  ;   3x = 16  ; x ⇒ 16/3

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