Answer
$R=\dfrac{8951.25}{I}$ and $R \approx 263$
Work Step by Step
General equation for inverse variation is given by $y=\dfrac{k}{x}$
Here, we have $I=\dfrac{k}{R}$ and $R=\dfrac{k}{I}$
This gives: $k=I R$
and $K \approx \dfrac{8880+8900+9075+8950}{4} =8951.25$
Thus, our formula is: $R=\dfrac{8951.25}{I}$
Set $I=34$
$I=\dfrac{8951.25}{34} \approx 263$ ohms