Question

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

(2, 8) and (x, 3)

Answer 1

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