The table of values below represents an inverse variation relationship. What is the value of \( x \) when \( y=3.25 ? \) \[ \begin{array}{l} \frac{x y}{213} \\ 46.5 \end{array} \] \( x=21.1 \) \( x=84.5 \) \( x=5.3 \) \( x=8 \)

To find the value of \( x \) when \( y = 3.25 \), we can set up the equation \( \frac{xy}{213} = 46.5 \) and solve for \( x \). \[ \frac{x(3.25)}{213} = 46.5 \] Multiplying both sides of the equation by 213 gives us: \[ x(3.25) = 46.5 \cdot 213 \] Dividing both sides of the equation by 3.25 gives us: \[ x = \frac{46.5 \cdot 213}{3.25} \] Evaluating this expression gives us: \[ x \approx 3051.23 \] Therefore, the value of \( x \) when \( y = 3.25 \) is approximately 3051.23. None of the given answer choices match this value, so none of the provided options are correct.