3) A swimmer dives 300 feet underwater, swims up 150 feet, and then swims down 50 feet. Which expression describes the scenario correctly? A - 300 + (- 150) + 50 B - 300 + 150 + (- 50) C 300 + (- 150) + (- 50) D 300 + 150 + (- 50)

To model the swimmer's movements using an expression:

1. The swimmer starts by diving **300 feet underwater**, so this can be represented as **-300**.
2. Then, the swimmer swims **up 150 feet**, which would be an increase, represented as **+150**.
3. Finally, the swimmer swims **down 50 feet**, which would be another decrease, represented as **-50**.

So, the correct expression that describes this scenario is:

\[
-300 + 150 - 50
\]

This matches option **C**: 

\[
\boxed{C\ -300 + 150 + (- 50)}
\]

Would you like any further explanation or details?

Here are 5 related questions to consider:
1. What would the swimmer’s position be after each movement in the scenario?
2. How would the expression change if the swimmer started from 100 feet above water?
3. How can we represent movements using positive and negative numbers in different contexts?
4. If the swimmer dives deeper after the final position, how would you adjust the expression?
5. How does this type of expression relate to real-world financial or elevation problems?

**Tip:** When dealing with movements or changes in position, always think of "up" as positive and "down" as negative.

A swimmer dives 300 feet underwater, swims up 150 feet, and then swims down 50 feet. Which expression describes the scenario correctly? A - 300 + (- 150) + 50 B - 300 + 150 + (- 50) C 300 + (- 150) + (- 50) D 300 + 150 + (- 50)

Learn how to model a swimmer's movement underwater with integer operations. The swimmer dives 300 feet, swims up 150 feet, and swims down 50 feet. This problem involves positive and negative numbers, helping students understand how to represent direction and movement with integers. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation