Final answer:
Negative solutions need to be rejected in scenarios where negative measurements are impossible, such as personal dimensions, ages, and some financial balances.
Step-by-step explanation:
In real-world situations, you may need to reject a negative solution as extraneous when dealing with measurements that cannot be negative. These measurements include distances, dimensions, ages, and balances, which are inherently non-negative due to their physical or logical characteristics.
Real-World Situations Requiring Positive Solutions:
Jamie’s height (Health) - Height is a physical measurement and cannot be negative.
The width of a rectangular pool (Mathematics) - Similar to height, dimensions are physical measurements that must be positive.
Mary’s age (Social Studies) - Age is a measure of time elapsed since birth and cannot be negative.
Ashley’s bank balance (Business) - While bank balances can be negative due to debt or overdraft, in many contexts, such as starting a new account, a negative balance would not make sense and would be extraneous.
When solving problems in these contexts, any negative solutions obtained would be considered extraneous and thus rejected, as they do not fit the situation’s requirements.