A caterpillar can crawl 1/2

of an inch in 1/4
of a minute. Which process should be used to determine the unit rate (distance traveled in one minute)?(1 point)
Responses

14÷12
1 fourth divided by 1 half

12÷14
1 half divided by 1 fourth

12+14
1 half plus 1 fourth

​1​2−14
Question 2
(1 point)
The caterpillar can crawl
inches in one minute. The unit rate is
inches per minute.
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1 answer

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:

  1. 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:

  1. 14÷12 - This is incorrect.
  2. 1 fourth divided by 1 half - This is incorrect.
  3. 12÷14 - This is incorrect.
  4. 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.