Question
Which situation describes opposite quantities that when combined would equal 0?
A. The low temperature was -10 Celsius and the high temperature was 10 Celsius. What is the change in temperature?
B. A diver was 30 feet below the surface and swam upward 30 feet. What is the change of elevation
C. The hiking trail has an elevation of 60 feet above sea level and ends 60 feet below sea level. What is the change in elevation?
D. A person jumped up 10 feet in the air of a diving board. The person sank 10 feet below the water and swam to the surface. What is the distance traveled?
A. The low temperature was -10 Celsius and the high temperature was 10 Celsius. What is the change in temperature?
B. A diver was 30 feet below the surface and swam upward 30 feet. What is the change of elevation
C. The hiking trail has an elevation of 60 feet above sea level and ends 60 feet below sea level. What is the change in elevation?
D. A person jumped up 10 feet in the air of a diving board. The person sank 10 feet below the water and swam to the surface. What is the distance traveled?
Answers
GPT-4o mini
To identify the situation that describes opposite quantities that when combined would equal 0, we need to look for cases where two quantities cancel each other out (one positive and one negative of the same magnitude).
Let's analyze each option:
A. The low temperature was -10 Celsius and the high temperature was 10 Celsius. What is the change in temperature?
- This situation represents -10 and +10, which are opposite quantities. When combined: -10 + 10 = 0.
B. A diver was 30 feet below the surface and swam upward 30 feet. What is the change of elevation?
- This is also a scenario with opposite quantities: -30 and +30. When combined: -30 + 30 = 0.
C. The hiking trail has an elevation of 60 feet above sea level and ends 60 feet below sea level. What is the change in elevation?
- This case involves +60 and -60. They also cancel each other out: 60 + (-60) = 0.
D. A person jumped up 10 feet in the air off a diving board. The person sank 10 feet below the water and swam to the surface. What is the distance traveled?
- While this involves movement above and below the surface, it does not directly involve quantities that cancel out in the same way (distance is considered, but not in terms of positive and negative values that sum to zero).
Given this analysis, both A, B, and C are examples of opposite quantities that combine to equal 0.
For clarity:
- **A.** (-10, +10) = 0
- **B.** (-30, +30) = 0
- **C.** (60, -60) = 0
However, since the request asks for situations that cancel out to zero, **C** stands out because it clearly represents a transition from above sea level to below sea level, encapsulating the entire journey in one statement.
Thus, the answer can include A, B, or C, but **C** is the most direct situation stated as a change in elevation explicitly during the transition.
Let's analyze each option:
A. The low temperature was -10 Celsius and the high temperature was 10 Celsius. What is the change in temperature?
- This situation represents -10 and +10, which are opposite quantities. When combined: -10 + 10 = 0.
B. A diver was 30 feet below the surface and swam upward 30 feet. What is the change of elevation?
- This is also a scenario with opposite quantities: -30 and +30. When combined: -30 + 30 = 0.
C. The hiking trail has an elevation of 60 feet above sea level and ends 60 feet below sea level. What is the change in elevation?
- This case involves +60 and -60. They also cancel each other out: 60 + (-60) = 0.
D. A person jumped up 10 feet in the air off a diving board. The person sank 10 feet below the water and swam to the surface. What is the distance traveled?
- While this involves movement above and below the surface, it does not directly involve quantities that cancel out in the same way (distance is considered, but not in terms of positive and negative values that sum to zero).
Given this analysis, both A, B, and C are examples of opposite quantities that combine to equal 0.
For clarity:
- **A.** (-10, +10) = 0
- **B.** (-30, +30) = 0
- **C.** (60, -60) = 0
However, since the request asks for situations that cancel out to zero, **C** stands out because it clearly represents a transition from above sea level to below sea level, encapsulating the entire journey in one statement.
Thus, the answer can include A, B, or C, but **C** is the most direct situation stated as a change in elevation explicitly during the transition.