Final answer:
To find the number of students participating in the competition after 9 years, divide 9 by 3 to find the number of competitions, and then multiply the initial number of students by the number of competitions the correct answer is 90 (option 1).
Step-by-step explanation:
To find the number of students participating in the competition after 9 years, we need to determine the number of times the competition occurs within that time frame. Since the competition happens every three years, we divide 9 by 3 to find the number of competitions: 9 / 3 = 3. Therefore, the number of students participating in the competition after 9 years will be 30 students (the initial number of students) multiplied by the number of competitions: 30 * 3 = 90. So, the correct answer is 90 (option 1).