When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?
in joint variation, the equation of variation holds the form
e=kfg, 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=k2*8,
k=1/4
Answer:
\(The\ constant\ of\ variation\ is\ \frac{1}{4}.\)
Step-by-step 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
\(k = \frac{4}{16}\)
\(k = \frac{1}{4}\)
\(Therefore\ the\ constant\ of\ variation\ is\ \frac{1}{4}.\)