To find Ilana's average speed in laps per minute, we need to calculate how many laps she completed in one minute.
We know she ran 2 laps in 8 minutes. Therefore, to find her speed in laps per minute, we can use the formula:
\[ \text{Average speed (in laps per minute)} = \frac{\text{Total laps}}{\text{Total time (in minutes)}} \]
Substituting in the values:
\[ \text{Average speed} = \frac{2 \text{ laps}}{8 \text{ minutes}} = \frac{2}{8} = \frac{1}{4} \text{ laps per minute} \]
Thus, Ilana's average speed is one-fourth of a lap per minute. Therefore, the correct answer is:
One-fourth of a lap per minute.