Question

student enrollment
the enrollment at a local college has been increasing linearly. in 2003, there where 825 students enrolled. by 2010, there were only 1098 students enrolled. determine the average rate of change of the schools enrollment during this time period, and write a sentence explaining its meaning.
the average rate of change =
the enrollment at the college has been select an answer at a rate of select an answer
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Explanation:

Step1: Calculate the change in the number of students

The change in the number of students is \(1098 - 825=273\).

Step2: Calculate the change in time

The change in time is \(2010 - 2003 = 7\) years.

Step3: Calculate the average rate of change

The average rate of change formula is \(\frac{\text{Change in }y}{\text{Change in }x}\). Here, \(y\) is the number of students and \(x\) is the time. So the average rate of change is \(\frac{273}{7}=39\).

Answer:

The average rate of change \(= 39\). The enrollment at the college has been increasing at a rate of \(39\) students per year.