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?

Question

asked Sep 23, 2022 224k views

2 Answers

Elahe · Answer 1 · 2022-09-27T20:16:45+0000

Answer:

k = 3

Explanation:

Given that b varies jointly with c and d and inversely with f then the equation relating them is

b =
(kcd)/(f) ← k is the constant of variation

To find k use the condition c = 4, d = 9, f = 6 , b = 18, then

18 =
(k(4)(9))/(6) =
(36k)/(6) = 6k ( divide both sides by 6 )

3 = k