To find out how far the caterpillar can crawl in 1 minute, we first need to determine its speed.
The caterpillar crawls \( \frac{1}{2} \) inch in \( \frac{1}{4} \) minute. To find the speed in inches per minute, we can set up a proportion:
- The distance it crawls in \( \frac{1}{4} \) minute is \( \frac{1}{2} \) inch.
- To find the distance in 1 full minute, we can multiply the distance crawled in \( \frac{1}{4} \) minute by 4 (because 1 minute is 4 times \( \frac{1}{4} \) minute):
\[ \text{Distance in 1 minute} = \frac{1}{2} \text{ inch} \times 4 = 2 \text{ inches} \]
Therefore, the caterpillar can crawl 2 inches in one minute.