Question

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?

Answer 1

C. 3

Explanation:

edge 2021

Answer 2

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