Answer :
Let's analyze the table to understand in which scenarios sexual intercourse must be reported to child-abuse authorities according to California law.
Given four instances to check:
1. a 14-year-old with a 17-year-old
2. a 15-year-old with a 13-year-old
3. a 16-year-old with a 14-year-old
4. a 17-year-old with a 15-year-old
We will compare each instance with the information provided in the table.
### Instance 1: a 14-year-old with a 17-year-old
- The row representing a 14-year-old as the patient and the column representing a 17-year-old as the partner shows "Y".
- This means that this instance must be reported.
- So, the first instance is reported.
### Instance 2: a 15-year-old with a 13-year-old
- The row representing a 15-year-old as the patient and the column representing a 13-year-old as the partner shows "Y".
- This means that this instance must be reported.
- So, the second instance is reported.
### Instance 3: a 16-year-old with a 14-year-old
- The row representing a 16-year-old as the patient and the column representing a 14-year-old as the partner shows "N".
- This means that this instance should not be reported.
- So, the third instance is not reported.
### Instance 4: a 17-year-old with a 15-year-old
- The row representing a 17-year-old as the patient and the column representing a 15-year-old as the partner shows "N".
- This means that this instance should not be reported.
- So, the fourth instance is not reported.
### Conclusion
- Instance 1: a 14-year-old with a 17-year-old must be reported.
- Instance 2: a 15-year-old with a 13-year-old must be reported.
- Instance 3: a 16-year-old with a 14-year-old should not be reported.
- Instance 4: a 17-year-old with a 15-year-old should not be reported.
So, the instances of sexual intercourse that must be reported in California are:
1. a 14-year-old with a 17-year-old
2. a 15-year-old with a 13-year-old
Given four instances to check:
1. a 14-year-old with a 17-year-old
2. a 15-year-old with a 13-year-old
3. a 16-year-old with a 14-year-old
4. a 17-year-old with a 15-year-old
We will compare each instance with the information provided in the table.
### Instance 1: a 14-year-old with a 17-year-old
- The row representing a 14-year-old as the patient and the column representing a 17-year-old as the partner shows "Y".
- This means that this instance must be reported.
- So, the first instance is reported.
### Instance 2: a 15-year-old with a 13-year-old
- The row representing a 15-year-old as the patient and the column representing a 13-year-old as the partner shows "Y".
- This means that this instance must be reported.
- So, the second instance is reported.
### Instance 3: a 16-year-old with a 14-year-old
- The row representing a 16-year-old as the patient and the column representing a 14-year-old as the partner shows "N".
- This means that this instance should not be reported.
- So, the third instance is not reported.
### Instance 4: a 17-year-old with a 15-year-old
- The row representing a 17-year-old as the patient and the column representing a 15-year-old as the partner shows "N".
- This means that this instance should not be reported.
- So, the fourth instance is not reported.
### Conclusion
- Instance 1: a 14-year-old with a 17-year-old must be reported.
- Instance 2: a 15-year-old with a 13-year-old must be reported.
- Instance 3: a 16-year-old with a 14-year-old should not be reported.
- Instance 4: a 17-year-old with a 15-year-old should not be reported.
So, the instances of sexual intercourse that must be reported in California are:
1. a 14-year-old with a 17-year-old
2. a 15-year-old with a 13-year-old