(Determine the constant of proportionality.) v varies jointly as p and q and inversely as the square of s. (v = 3.5 when p = 4.3, q = 6.3 and s = 1.2 .)

Question

Find a mathematical model representing the statement. (Determine the constant of proportionality.) v varies jointly as p and q and inversely as the square of s. (v = 3.5 when p = 4.3, q = 6.3 and s = 1.2 .)

Answer 1

v = kpq/s^2

3.5 =k(4.3)(6.3)/(1.2)^2

k = 1.44(3.5)/27.09 = 0.186046511

k=about 0.186