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 given, we can look at the coordinates provided and understand what they represent.

The point (0, 0) indicates that at 0 seconds, the submarine is at 0 meters depth. The point (1, 3) indicates that at 1 second, the submarine is at 3 meters depth.

From this, we can determine the following:

• The submarine's depth increased from 0 meters to 3 meters in 1 second.
• The increase in depth is 3 meters over 1 second, which means the rate of increase is 3 meters per second.

Now let’s evaluate each option:

A. The submarine’s depth increased at a rate of \( \frac{1}{3} \) meter per second.
Incorrect – The rate is actually 3 meters per second.

B. The submarine’s depth increased from 1 meter to 3 meters in 1 second.
Incorrect – It started at 0 meters and increased to 3 meters, not from 1 to 3 meters.

C. The submarine’s depth increased at a rate of 3 meters per second.
Correct – The increase is indeed 3 meters in 1 second.

D. The submarine’s depth increased from 1 meter to 3 meters in 3 seconds.
Incorrect – The submarine did not start at 1 meter; it started at 0 meters.

Based on this analysis, the correct conclusion is:

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