Question

The pair of points is on the graph of an inverse variation. Find the missing value.

Answer 1

Answer:

  x = 16/3

Step-by-step explanation:

y varies inversely with x if ...

  y = k/x

The constant k can be found from ...

  xy = k

For the given point, ...

  2·8 = k = 16

The relation is symmetrical, so we also have ...

  x = k/y = 16/3 . . . . substituting the value at the second given point

The missing value is 16/3.