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Klio2033 [76]
3 years ago
11

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?
Mathematics
2 answers:
True [87]3 years ago
4 0

Answer:

C. 3

Step-by-step explanation:

edge 2021

xxTIMURxx [149]3 years ago
3 0

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

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