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

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

Answer 2

Answer:

C. 3

Step-by-step explanation:

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