Question:

a is inversely proportional to (b - 4). If a = 8 and b = 22, express a in terms of b.

A $4454_w88_h41.png$

Explaination

A value (given as a in this problem) that is inversely proportional to another value (given as b-4) is written as (where k is a constant of proportionality): $4751_w88_h42.png$
substituting with given values of a and b: $1471_w99_h42.png$
8(22−4)=k
k=144
$4454_w88_h41.png$