How do you write a specific formula to describe the variation: S varies jointly with the inverse of the square of P and inversely with the cube of L; S=6 when P=8, L=10?

1 Answer
Binayaka C.
May 10, 2017

Variation equation is S = 384000 * 1/(P^2*L^3)

Explanation:

S prop 1/P^2 and S prop 1/L^3 When varies jointly,

S prop 1/(P^2*L^3) or S = k * 1/(P^2*L^3) :. k = S*P^2*L^3 "k" is a constant.

S=6 , P=8 , L=10 :. k= 6*8^2*10^3 = 384000

So variation equation is S = 384000 * 1/(P^2*L^3) [Ans]

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