Question
A submarine is 3,240 feet below sea level. It begins to ascend at a rate of 15 feet per minute. Which integer describes the submarine's position to sea level after 40 minutes?
A. 2,640 feet
B. 600 feet
C. -600 feet
D. -2,640 feet
A. 2,640 feet
B. 600 feet
C. -600 feet
D. -2,640 feet
Answers
GPT-4o mini
To determine the submarine's position relative to sea level after ascending for 40 minutes, we can follow these steps:
1. **Determine the total ascent in feet**:
The submarine ascends at a rate of 15 feet per minute for 40 minutes. So, the total ascent is:
\[
15 \text{ feet/minute} \times 40 \text{ minutes} = 600 \text{ feet}
\]
2. **Calculate the new position**:
The submarine starts at -3,240 feet (3,240 feet below sea level). After ascending 600 feet, the new position can be calculated as:
\[
-3,240 \text{ feet} + 600 \text{ feet} = -2,640 \text{ feet}
\]
Thus, after 40 minutes, the submarine's position relative to sea level is -2,640 feet.
The correct answer is **D. -2,640 feet**.
1. **Determine the total ascent in feet**:
The submarine ascends at a rate of 15 feet per minute for 40 minutes. So, the total ascent is:
\[
15 \text{ feet/minute} \times 40 \text{ minutes} = 600 \text{ feet}
\]
2. **Calculate the new position**:
The submarine starts at -3,240 feet (3,240 feet below sea level). After ascending 600 feet, the new position can be calculated as:
\[
-3,240 \text{ feet} + 600 \text{ feet} = -2,640 \text{ feet}
\]
Thus, after 40 minutes, the submarine's position relative to sea level is -2,640 feet.
The correct answer is **D. -2,640 feet**.