Persons 16 years of age or older and under 18 years of age who have not been graduated from high school shall be permitted by the governing board to enroll in continuation classes conducted by the school district pursuant to Article 3 (commencing with Section 48430) of this chapter if such enrollment does not preclude attainment of the goals of continuation education schools and classes prescribed in Article 3 (commencing with Section 48430) of this chapter, as determined by the governing board. The provisions of Article 5 (commencing with Section 48260) of Chapter 2 of this part shall be applicable to such persons.