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

Question

3 years ago

11

variation?

2 answers:

True [87] · Answer 1 · 2022-03-24T14:03:16+03:00

True [87]3 years ago

4 0

Answer:

C. 3

Step-by-step explanation:

edge 2021

xxTIMURxx [149] · Answer 2 · 2022-03-24T12:51:19+03:00

Answer:

k = 3

Step-by-step explanation:

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

b = $\frac{kcd}{f}$ ← k is the constant of variation

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

18 = $\frac{k(4)(9)}{6}$ = $\frac{36k}{6}$ = 6k ( divide both sides by 6 )

3 = k