Respuesta :
Answer:
[tex](A) \dfrac{1}{4}[/tex]
Step-by-step explanation:
If n varies jointly with f and g, we write:
[tex]n \prop fg\\$Introducing the constant of variation, k$\\n=kfg\\When f=2, g=8 and n=4\\4=k \times 8 \times 2\\4=16k\\$Divide both sides by 16\\k = 4\div 16\\k=\dfrac{1}{4} \\\\$The constant of variation is \dfrac{1}{4}[/tex]
The correct option is A.
The constant of variation = 1/4 , Option A is the correct answer.
What is Constant of variation ?
The ratio between two variables in a direct variation or the product of two variables in an inverse variation.
In the direct variation equations = k and y = kx,
and the inverse variation equations xy = k and y = , k is the constant of variation.
if n varies jointly with f and g
n ∝ fg
n = kfg
f=2
g=8
n=4
The constant of variation will be
4 = k *2*8
k= 1/4
Therefore Option A is the correct answer.
To know more about Constant of Variation
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