Question

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

(2,8) and (x,3)

Answer 1

x = 16/3

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.