\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}

To calculate the average rate of change of enrollment from 2002 to 2012, you'll subtract the number of students in 2002 from the number in 2012, then divide by the number of years between these two dates. Here’s how it breaks down: 1. Enrollment in 2002: 850 students 2. Enrollment in 2012: 1230 students 3. Change in enrollment: \( 1230 - 850 = 380 \) students 4. Time period: \( 2012 - 2002 = 10 \) years Now plug those numbers into the average rate of change formula: \[ \text{Average rate of change} = \frac{380 \text{ students}}{10 \text{ years}} = 38 \text{ students per year} \] The enrollment at the college has been increasing at a rate of 38 students per year on average between 2002 and 2012. This indicates a steady growth in student enrollment, reflecting possibly increasing popularity or demand for the college's programs during that decade.