A quantity b varies jointly with c and d and inversely with f. when c is 4, d is 9, and f is 6, b is 18. what is the constant of variation? one-twelfth one-third 3 12

Respuesta :

The constant of the variation which is the constant of proportionality is 3.

What is variation?

Variation is defined by any change in some quantity due to change in another.

b ∝ cd / f

Therefore,

b = kcd / f

where

k = constant of proportionality

Hence,

c = 4

d = 9

f = 6

b = 18

Therefore,

bf = kcd

k = bf / cd

k = 18 × 6 / 4 × 9

k = 108 / 36

k = 3

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It's C.) 3 on edge, I passed the quiz