\begin{tabular}{l} Student Enrollment \ \hline The enrollment at a local college has been increasing linearly. In 2002, there where 850 students enrolled. By \ 2012, there were only 1230 students enrolled. Determine the average rate of change of the school's enrollment \ during this time period, and write a sentence explaining its meaning. \ \hline The average rate of change $$ = $$ \ The enrollment at the college has been Select an answer $$ \checkmark $$ at a rate of \ Question Help: Video \ Submit Question \end{tabular}

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1. Define the average rate of change formula:
   $$
   \text{Average rate of change} = \frac{\text{Change in enrollment}}{\text{Change in time}}
   $$

2. Identify the given values:
   - In 2002: Enrollment = $$850$$
   - In 2012: Enrollment = $$1230$$
   - Change in time = $$2012 - 2002 = 10$$ years

3. Substitute the values into the formula:
   $$
   \text{Average rate of change} = \frac{1230 - 850}{10} = \frac{380}{10} = 38 \text{ students per year}
   $$

4. Interpretation:  
   The enrollment at the college has been increasing at a rate of $$38$$ students per year.
The average rate of change is $$38$$ students per year, meaning the enrollment increased by $$38$$ students each year during the period from 2002 to 2012.

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