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?
Answers
GPT-4o mini
To calculate the submarine's position relative to sea level after it ascends, we can follow these steps:
1. **Determine the total ascent in 40 minutes**: The submarine ascends at a rate of 15 feet per minute. Therefore, in 40 minutes, the total ascent will be:
\[
\text{Ascent} = \text{rate} \times \text{time} = 15 \, \text{feet/minute} \times 40 \, \text{minutes} = 600 \, \text{feet}
\]
2. **Calculate the new position relative to sea level**: The submarine starts at 3,240 feet below sea level, which we can represent as -3,240 feet. After ascending by 600 feet, its new depth will be:
\[
\text{New Position} = -3,240 + 600 = -2,640 \, \text{feet}
\]
Thus, the submarine's position relative to sea level after 40 minutes is \( -2,640 \) feet.
The integer that describes the submarine's position to sea level after 40 minutes is:
\[
\boxed{-2640}
\]
1. **Determine the total ascent in 40 minutes**: The submarine ascends at a rate of 15 feet per minute. Therefore, in 40 minutes, the total ascent will be:
\[
\text{Ascent} = \text{rate} \times \text{time} = 15 \, \text{feet/minute} \times 40 \, \text{minutes} = 600 \, \text{feet}
\]
2. **Calculate the new position relative to sea level**: The submarine starts at 3,240 feet below sea level, which we can represent as -3,240 feet. After ascending by 600 feet, its new depth will be:
\[
\text{New Position} = -3,240 + 600 = -2,640 \, \text{feet}
\]
Thus, the submarine's position relative to sea level after 40 minutes is \( -2,640 \) feet.
The integer that describes the submarine's position to sea level after 40 minutes is:
\[
\boxed{-2640}
\]