Let's analyze the problem step by step:

The given question involves understanding proportional relationships:

1. For the first example, 1 mile ÷ 2 laps = 0.5 mi/lap, it tells us the distance per lap is 0.5 miles.

2. For the second question, 2 miles ÷ 4 laps, we perform the division:

   $\text{Distance per lap} = \frac{\text{2 miles}}{\text{4 laps}} = 0.5 \, \text{mi/lap}.$

Answer: 0.5 mi/lap

Would you like a detailed explanation on proportional relationships or further assistance with similar examples?

Follow-up Questions:

1. How can you determine the unit rate of distance per lap in other contexts?
2. If Nina walks 6 laps, how many miles would she walk using the same relationship?
3. What does it mean when we say "miles per lap" in proportional relationships?
4. How would you represent this relationship in a graph or table?
5. How would this relationship change if the number of laps increased but the total miles stayed constant?

Tip: Always divide the total quantity by the number of units to find the unit rate (e.g., miles per lap).