To find out how far the caterpillar can crawl in one minute, we can set up a proportion based on the distances and times given.
The caterpillar crawls \( \frac{1}{2} \) inch in \( \frac{1}{4} \) of a minute. To find the distance crawled in 1 minute, we can determine how many fourths of a minute are in 1 minute, which is 4. Therefore, we can multiply the distance crawled in \( \frac{1}{4} \) minute by 4:
\[ \text{Distance in 1 minute} = \frac{1}{2} \text{ inch} \times 4 = 2 \text{ inches} \]
So, the caterpillar can crawl 2 inches in one minute.