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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? one-eighth one-half four and one-half 18

Respuesta :

Eduard22sly

The constant of variation given that  r varies directly with p and inversely with the product of s and t is one-half

From the question given above,

r ∝ p ∝ 1/st

r ∝ p / st

r = Kp / st

Cross multiply

r × st = Kp

Divide both side by p

K = rst / p => constant of variation

How to determine the constant of variation

  • p = 12
  • t = 2
  • s = one-sixth = 1/6
  • r = 18
  • Constant of variation (K) =?

K = rst / p

K = (18 × 1/6 × 2) / 12

K = 6 / 12

K = 1 / 2 = one-half

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Answer:

b

Step-by-step explanation: