Question

A quantity b varies jointly with c and d and inversely with e. When b is 18, c is 4, d is 9, and e is 6. What is the constant of variation?
1/12
1/3
3
12

Answer 1

Answer:

The answer is C. 3

Step-by-step explanation:

Answer 2

B$\alpha$$\frac{cd}{e}$
b=$k \frac{cd}{e}$
Where k is a constant of proportionality.
b=18, c=4,d=9, e=6
Finding the value f k,
18=$\frac{k*4*9}{6}$
6k=18
k=3
The equation then is;
b=$\frac{3cd}{e}$
The constant of variation=3