The graph shows how the depth of a submarine increased as it dove beneath the ocean surface.

Question

The graph titled Submarine depth shows depth in meters on the vertical axis from 0 to 20 in increments of 2 and time in seconds from 0 to 5 on the horizontal axis. The line joins the points (0, 0) and (1, 3).

What can be concluded from the information on the graph?

A.
The submarine’s depth increased at a rate of
1
3
meter per second.

B.
The submarine’s depth increased from 1 meter to 3 meters in 1 second.

C.
The submarine’s depth increased at a rate of 3 meters per second.

D.
The submarine’s depth increased from 1 meter to 3 meters in 3 seconds.

Answer 1

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.