To analyze the information provided in the graph, we focus on the points mentioned: (0, 0) and (1, 3).
- The point (0, 0) indicates that at 0 seconds, the submarine is at a depth of 0 meters.
- The point (1, 3) indicates that at 1 second, the submarine is at a depth of 3 meters.
From this information, we can derive the following conclusions:
- The submarine's depth increases from 0 meters to 3 meters over the first 1 second.
- The change in depth is 3 meters, and the time taken for this change is 1 second.
Now, let's evaluate the answer choices:
A. The submarine’s depth increased at a rate of \( \frac{1}{3} \) meter per second.
- This is incorrect because the depth increased by 3 meters in 1 second, which is a rate of 3 meters per second.
B. The submarine’s depth increased from 1 meter to 3 meters in 1 second.
- This is incorrect because the depth started at 0 meters and increased to 3 meters in 1 second, not from 1 meter to 3 meters.
C. The submarine’s depth increased at a rate of 3 meters per second.
- This is correct because the depth changed from 0 to 3 meters in 1 second, which is a rate of 3 meters per second.
D. The submarine’s depth increased from 1 meter to 3 meters in 3 seconds.
- This is incorrect because the depth did not start at 1 meter; it started at 0 meters and reached 3 meters in 1 second.
Considering the analysis above, the correct conclusion is:
C. The submarine’s depth increased at a rate of 3 meters per second.
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