A computer program ranks the probability of a student at a four-year high school graduating based on the grade (or year) that student is in. In this program, x is a student's grade level. What domain is related to this scenario?

Question

1)[0,12]
1)[1,12]
3)[9,12]
4)[6,12]

Answer 1

In this scenario, we need to consider the possible grade levels for students at a four-year high school. Typically, high school consists of grades 9 through 12, which correspond to Freshman (9th grade) through Senior (12th grade).

Given this information, the appropriate domain for the variable \( x \) (representing the grade level) would be the set of grades that students can be in during their time in a four-year high school. This would be:

Grade levels: 9, 10, 11, 12.

Therefore, the most fitting option from the choices provided is:

3) [9,12]

This interval includes the grade levels in a four-year high school and excludes any grades outside that range.