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 graph and the points given, we see the submarine goes from a depth of 0 meters at time 0 seconds to a depth of 3 meters at time 1 second.

Let's evaluate the provided options:

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

• This is incorrect because the total increase in depth (from 0 to 3 meters) occurs over 1 second, which gives 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 at time 1 second is 3 meters, but at time 0 seconds it starts at 0 meters.

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

• This is correct, as the depth increases from 0 to 3 meters over a time period of 1 second, yielding a rate of \( \frac{3 \text{ meters}}{1 \text{ second}} = 3 \text{ meters per second} \).

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

• This is incorrect, as previously stated, since the depth starts at 0 meters and increases to 3 meters in just 1 second.

Therefore, the correct conclusion from the information on the graph is:

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