When p = 12, t = 2, and s = One-sixth, r = 18. If r varies directly with p and inversely with the product of s and t, what is the constant of variation?

Step-by-step explanation:

Given

Required

Find the constant of variation

From the question, the variation is as follows

Convert variation to equation

Where k represents the constant of variation

Make k the subject of formula;

Multiply both sides by s * t

Divide both sides by p

Substitute the values of p, r, s and t in the above equation

Divide numerator and denominator by 6

Hence, the constant of variation is;

c

step-by-step explanation: