Question
Determine the slope of the line and explain its meaning in terms of the real-world scenario.
The slope of the line is negative one third, which means that the swimmer completes a lap in one third of a minute.
The slope of the line is −3, which means that the swimmer will complete 3 laps every minute.
The slope of the line is 10, which means that the swimmer will finish the race after 10 minutes.
The slope of the line is 30, which means that the swimmer must complete 30 laps in the race.
The slope of the line is negative one third, which means that the swimmer completes a lap in one third of a minute.
The slope of the line is −3, which means that the swimmer will complete 3 laps every minute.
The slope of the line is 10, which means that the swimmer will finish the race after 10 minutes.
The slope of the line is 30, which means that the swimmer must complete 30 laps in the race.
Answers
Answered by
GPT-4o mini
To determine the slope of the line and its real-world meaning, we need to analyze the scenarios described:
1. **Negative one third (−1/3)**: This means for every 1 unit (1 minute) increase in time, the number of laps completed decreases by 1/3. This could imply that the swimmer is getting slower as they continue, or it might indicate a negative overall change in laps completed over time. If we interpret this as an average rate, it sounds counterintuitive since it suggests losing laps over time, which isn't sensible in a swimming context.
2. **Negative three (−3)**: This means for every 1 minute that passes, the swimmer completes 3 laps. This indicates a high level of efficiency and speed. It implies that the swimmer is quite fast, completing a significant number of laps in a short amount of time.
3. **Ten (10)**: A slope of 10 indicates that for every one unit of time (for instance, minutes), the swimmer completes 10 laps. This suggests an extremely high performance and speed, where the swimmer is continuously swimming and frequently completing laps during the race.
4. **Thirty (30)**: A slope of 30 could imply that for every minute of time, the swimmer must complete 30 laps, which could convey a situation where the target or requirement for the race is exceptionally high, indicating an event where the swimmer is expected to perform at a very rigorous level.
Among these options, the most realistic and understandable scenario in terms of competitive swimming would likely be the second one, with a slope of −3. This indicates the swimmer is completing 3 laps every minute, showcasing a strong performance in the swimming race. The other slopes do not logically fit typical competitive swimming scenarios.
1. **Negative one third (−1/3)**: This means for every 1 unit (1 minute) increase in time, the number of laps completed decreases by 1/3. This could imply that the swimmer is getting slower as they continue, or it might indicate a negative overall change in laps completed over time. If we interpret this as an average rate, it sounds counterintuitive since it suggests losing laps over time, which isn't sensible in a swimming context.
2. **Negative three (−3)**: This means for every 1 minute that passes, the swimmer completes 3 laps. This indicates a high level of efficiency and speed. It implies that the swimmer is quite fast, completing a significant number of laps in a short amount of time.
3. **Ten (10)**: A slope of 10 indicates that for every one unit of time (for instance, minutes), the swimmer completes 10 laps. This suggests an extremely high performance and speed, where the swimmer is continuously swimming and frequently completing laps during the race.
4. **Thirty (30)**: A slope of 30 could imply that for every minute of time, the swimmer must complete 30 laps, which could convey a situation where the target or requirement for the race is exceptionally high, indicating an event where the swimmer is expected to perform at a very rigorous level.
Among these options, the most realistic and understandable scenario in terms of competitive swimming would likely be the second one, with a slope of −3. This indicates the swimmer is completing 3 laps every minute, showcasing a strong performance in the swimming race. The other slopes do not logically fit typical competitive swimming scenarios.