Which of the following is an ordered pair on the graph? What does it represent in this situation? A. \( (45,90) \); the machine caps 45 bottles in 90 seconds. B. \( (45,900) \); the machine caps 45 bottles in 900 seconds. C. ( 45,900 ); the machine caps 900 bottles in 45 seconds. D. \( (900,45) \); the machine caps 900 bottles in 45 seconds.

To determine which of the options represents an ordered pair on the graph and what it signifies, we need to analyze each option based on the context provided. 1. **Understanding Ordered Pairs**: An ordered pair \((x, y)\) typically represents a relationship between two quantities. In this case, it seems to relate the number of bottles capped (x) to the time taken (y) in seconds. 2. **Analyzing Each Option**: - **A. \( (45,90) \)**: This means the machine caps 45 bottles in 90 seconds. This is a valid representation of the relationship. - **B. \( (45,900) \)**: This means the machine caps 45 bottles in 900 seconds. This is also a valid representation, but it indicates a longer time for the same number of bottles. - **C. \( (45,900) \)**: This option is incorrectly formatted as it lacks the proper notation for ordered pairs (it should be \( (45,900) \) instead of ( 45,900 )). However, if we assume it means the same as option B, it still represents the same relationship. - **D. \( (900,45) \)**: This means the machine caps 900 bottles in 45 seconds. This is a valid representation but indicates a much faster rate of capping bottles. 3. **Conclusion**: All options except C are valid ordered pairs. However, the most straightforward interpretation of the relationship is found in option A, which clearly states the number of bottles capped and the time taken in a logical manner. Thus, the best answer is: - **A. \( (45,90) \)**; the machine caps 45 bottles in 90 seconds. This option represents a clear and direct relationship between the number of bottles and the time taken.