Question

a varies directly as b and inversely as the square of c. If a = 197 when b = 5 and c = 5, find a if b = 3 and c = 3

Answer 1

With the information you provided, we can find an equation.

A=kB/(C^2) (k is a constant)

197= 5k/(5^2)
197=5k/25
197=k/5
k= 985

So find a if b=3 and c=3

A= 3(985)/(3^2)
A= 2955/9 is your answer.