Analyze the table for each scenario.
Scenario a (14-year-old with 17-year-old): N (not reported).
Scenario b (15-year-old with 13-year-old): Y (reported).
Scenario c (16-year-old with 14-year-old): N (not reported).
Scenario d (17-year-old with 15-year-old): N (not reported).
The instance that must be reported is: \boxed{a 15-year-old with a 13-year-old}.
Explanation
Analyze the problem We are given a table that indicates when mandated reporters in California must report sexual intercourse to child abuse authorities, based on the ages of the individuals involved. The question asks us to identify which of the given scenarios must be reported according to the table.
Outline the solution We need to check each scenario against the table to see if the corresponding entry is 'Y' (yes, must be reported) or 'N' (no, does not need to be reported).
Check each scenario Let's analyze each option:
a) 14-year-old with a 17-year-old: The patient is 14, and the partner is 17. Looking at the table, the intersection of the 14-year-old row and the 17-year-old column shows 'N'. So, this instance does not need to be reported.
b) 15-year-old with a 13-year-old: The patient is 15, and the partner is 13. Looking at the table, the intersection of the 15-year-old row and the 13-year-old column shows 'Y'. So, this instance must be reported.
c) 16-year-old with a 14-year-old: The patient is 16, and the partner is 14. Looking at the table, the intersection of the 16-year-old row and the 14-year-old column shows 'N'. So, this instance does not need to be reported.
d) 17-year-old with a 15-year-old: The patient is 17, and the partner is 15. Looking at the table, the intersection of the 17-year-old row and the 15-year-old column shows 'N'. So, this instance does not need to be reported.
State the answer Based on our analysis, only scenario b (a 15-year-old with a 13-year-old) must be reported.
Examples
This type of problem can be applied in real-world scenarios where mandated reporters need to determine whether they are legally obligated to report certain situations. Understanding how to read and interpret tables like this is crucial for making informed decisions and ensuring compliance with the law. For example, a school counselor might use such a table to determine if they need to report a relationship between students of different ages.
The instance of sexual intercourse that must be reported in California is a 15-year-old with a 13-year-old. This is due to the age difference and legal requirements. The other scenarios do not meet the reporting criteria.
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