Final answer:
The system that models the scores that meet the school's requirement is x + y < 1200 and y > 475, where x represents SAT math scores and y represents GPAs.
Step-by-step explanation:
The system that models the scores that meet the school's requirement is the inequality system x + y < 1200 and y > 475.
Let's break down this system:
- For the first inequality x + y < 1200, we want the sum of the SAT math scores (x) and GPAs (y) to be less than 1200. This means that the combined scores of SAT math and GPA should not exceed 1200.
- For the second inequality y > 475, we want the GPAs (y) to be greater than 475. This means that the minimum required GPA is 475.
To meet the school's requirement, the SAT math scores and GPAs should satisfy both inequalities.