Question

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

Answer 1

in joint variation, the equation of variation holds the form

e=k*fg, where k is the constant of variation. you can see how if either f or g increases, e increases as well, making e vary jointly with f and g. we are given the numbers e=4, f=2, and g=8, so when we input those into the general equations,

4=k*2*8,
k=1/4

Answer 2

`The\ constant\ of\ variation\ is\ (1)/(4).`

Explanation:

As given in the question

If e varies jointly with f and g.

i.e

`e \propto fg`

e = kfg

Where k is the constant of variation.

As

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

Put in the above

4 = k × 2 × 8

4 = 16k

`k = (4)/(16)`

`k = (1)/(4)`

`Therefore\ the\ constant\ of\ variation\ is\ (1)/(4).`