Answer:
\(y=\dfrac{48}{x}\)
Step-by-step explanation:
When x = 3, y = 16
When x = 6, y = 8
We need to model the inverse variation.
Inverse Variation : When one value increase another value decrease. But product of both always constant.
\(y=\dfrac{k}{x}\)
when x=3, y=16
\(16=\dfrac{k}{3}\)
k=48
When x=6, y=8
\(8=\dfrac{k}{6}\)
k=48
Model of the inverse variation:
\(y=\dfrac{48}{x}\)
Hence, The model of inverse variation is \(y=\dfrac{48}{x}\)
