### Solution:
#### Part (a): Finding the rate of growth per year
1. Determine the initial and final enrollments:
- Initial enrollment (2010-2011) = 983 students
- Final enrollment (2023-2024) = 1153 students
2. Calculate the number of years between the two school years:
- Number of years = 2023 - 2010
- Number of years = 13 years
3. Calculate the rate of growth per year:
- Rate of growth = (Final enrollment - Initial enrollment) / Number of years
- Rate of growth = (1153 - 983) / 13
- Rate of growth ≈ 13.08 students per year
So, the rate of growth per year is approximately 13.08 students.
#### Part (b): Predicting future enrollments
1. Enrollment prediction for 2024-2025:
- Enrollment for 2024-2025 = Enrollment for 2023-2024 + Rate of growth
- Enrollment for 2024-2025 = 1153 + 13.08
- Enrollment for 2024-2025 ≈ 1166.08 students
2. Enrollment prediction for 2025-2026:
- Enrollment for 2025-2026 = Enrollment for 2024-2025 + Rate of growth
- Enrollment for 2025-2026 = 1166.08 + 13.08
- Enrollment for 2025-2026 ≈ 1179.15 students
So, the predicted enrollments are:
- For the 2024-2025 school year, approximately 1166.08 students
- For the 2025-2026 school year, approximately 1179.15 students
