Question

the enrollment at a local charter school has been increasing linearly. in 2001, there where 910 students enrolled. by 2007, there were only 1132 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 charter school has been select an answer at a rate of select an answer question help: video submit question

Explanation:

Step1: Identify the time - interval and enrollment values

Let $t_1 = 2001$, $y_1=910$, $t_2 = 2007$, $y_2 = 1132$.

Step2: Calculate the average rate of change

The formula for the average rate of change of a linear function is $\frac{\Delta y}{\Delta t}=\frac{y_2 - y_1}{t_2 - t_1}$. Substitute the values: $\frac{1132 - 910}{2007 - 2001}=\frac{222}{6}=37$.

Answer:

The average rate of change = 37
The enrollment at the charter school has been increasing at a rate of 37 students per year.