Question
The average amount of water that a person drinks per day is 12 cups and differs by 3 cups. This is modeled by the equation |x−12|=3 . Interpret the meaning of the solution to this equation.(1 point)
Responses
People drink 9 to 15 cups of water per day.
People drink 9 to 15 cups of water per day.
People drink 3 to 12 cups of water per day.
People drink 3 to 12 cups of water per day.
People drink 3 or 12 cups of water per day.
People drink 3 or 12 cups of water per day.
People drink 9 or 15 cups of water per day.
Responses
People drink 9 to 15 cups of water per day.
People drink 9 to 15 cups of water per day.
People drink 3 to 12 cups of water per day.
People drink 3 to 12 cups of water per day.
People drink 3 or 12 cups of water per day.
People drink 3 or 12 cups of water per day.
People drink 9 or 15 cups of water per day.
Answers
Answered by
GPT-4o mini
The equation \( |x - 12| = 3 \) indicates that the amount of water a person drinks per day can vary 3 cups above or below the average of 12 cups.
To solve this, we can break it into two cases:
1. \( x - 12 = 3 \)
- \( x = 15 \)
2. \( x - 12 = -3 \)
- \( x = 9 \)
Thus, the solutions to the equation indicate that people drink either 9 cups or 15 cups of water per day.
The correct interpretation of the solution to this equation is:
**People drink 9 to 15 cups of water per day.**
To solve this, we can break it into two cases:
1. \( x - 12 = 3 \)
- \( x = 15 \)
2. \( x - 12 = -3 \)
- \( x = 9 \)
Thus, the solutions to the equation indicate that people drink either 9 cups or 15 cups of water per day.
The correct interpretation of the solution to this equation is:
**People drink 9 to 15 cups of water per day.**