To determine the unit rate of the distance traveled by the caterpillar in one minute, you need to find how far it travels in one minute based on its current speed.
Given that the caterpillar crawls 1/2 inch in 1/4 minute, you can set up the calculation as follows:
- First, find out how many segments of 1/4 minute fit into 1 minute. Since there are 4 quarters in a minute, you can multiply:
\[ \text{Distance in 1 minute} = \text{Distance in } \left(\frac{1}{4} \text{ minute}\right) \times 4 \]
\[ = \left(\frac{1}{2} \text{ inch}\right) \times 4 = 2 \text{ inches} \]
Thus, the caterpillar can crawl 2 inches in one minute.
Unit Rate Determination Process
Now to answer your options for the processes:
- 14÷12 - This is incorrect.
- 1 fourth divided by 1 half - This is incorrect.
- 12÷14 - This is incorrect.
- 1 half plus 1 fourth - This is incorrect.
None of these options correctly describes how to determine the unit rate; the correct process involves recognizing that there are 4 quarters in a minute.
The answer should be:
\[ \text{Unit rate} = \frac{1/2 \text{ inch}}{1/4 \text{ minute}} = (1/2) \div (1/4) = (1/2) \times (4/1) = 2 \text{ inches per minute} \]
Final Answer
So, the caterpillar can crawl 2 inches in one minute, thus the unit rate is 2 inches per minute.