A deep-sea diver is in search of coral reefs. He finds a beautiful one at an elevation of 
 feet. While taking pictures of the reef, he catches sight of a manta ray. He swims up 
 feet to check it out. What is the diver's new elevation?
 A. -146 feet
 B. -95 1/7 feet
 C. 95 1/7 feet
 D. 146 feet

To determine the diver's new elevation, we need to know the initial elevation of the coral reef and how many feet the diver swims up. Since the initial elevation and the number of feet swam up are not specified in your question, let's assume:

- The diver finds the coral reef at an elevation of \( x \) feet.
- The diver swims up \( y \) feet to check out the manta ray.

The new elevation would be calculated as:
\[ \text{New elevation} = x + y \]

Given the options:
A. -146 feet
B. -95 1/7 feet
C. 95 1/7 feet
D. 146 feet

If we assume the initial elevation of the coral reef \( x \) is negative, and the diver swims up a positive number of feet \( y \), then:

- If the diver ends up at -146 feet, the initial elevation must have been lower (more negative) by the amount he swam up.
- If the diver ends up at -95 1/7 feet, the same logic applies, and the initial elevation must be lower by \( y \).
- If the diver ends up at 95 1/7 feet, he would have started at a positive elevation, which seems unlikely for a deep-sea diver.
- If the diver ends up at 146 feet, the same logic as the previous point applies.

Therefore, without specific values for \( x \) and \( y \), let's consider a reasonable scenario where the initial elevation is negative and the swimmer's upward movement results in a less negative value, but not necessarily positive.

Assuming an example:
- If the initial elevation \( x \) was -200 feet, and he swims up 54 feet, then the new elevation would be:
\[ -200 + 54 = -146 \text{ feet} \]

So, based on this reasoning, the new elevation is most likely **-146 feet** (Option A).

Would you like more details or have any questions? Here are 5 related questions you might ask:

1. How do I solve elevation problems involving positive and negative numbers?
2. Can you explain how to add and subtract elevations?
3. What is the significance of negative elevations in real-life scenarios?
4. How do elevation changes affect divers in the ocean?
5. What are some common methods to measure underwater elevations?

**Tip:** When dealing with elevation changes, always pay attention to the signs (positive or negative) to accurately determine the new position relative to sea level.

Learn how to calculate a diver's new elevation after swimming up from a coral reef. This problem involves arithmetic operations with negative numbers and real-life elevation calculations. Suitable for students in Grades 5-6.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation