Question

When e = 4, f = 2, and g = 8If e varies jointly with f and g, what is the constant of variation?

Answer 1

Answer:

$e=\frac{1}{4} fg$

Step-by-step explanation:

Joint variation problem  solve using the equation y = kxz.

e ∝ fg

e=kfg

now substitute the values

$4=k*2*8\\4=16k\\k=\frac{4}{16} \\k=\frac{1}{4}$

The relationship will be:

$e=kfg\\e=\frac{1}{4} fg$

Answer 2

Answer:

K = 1/4

Step-by-step explanation:

Formula for joint variation is X = Kyz

Where k is the constant and x,z are any given variables.

The question here says that

When e = 4, f = 2, and g = 8If e varies jointly with f and g, what is the constant of variation?

It means that e= k×f×g

And e = 4, f= 2 and g= 8

4 = k × 2 × 8

4 = 16 × k (Now divide through by 16 to get k)

K = 1/4