Let's work through the average rate of change questions based on the given table.

The formula for the average rate of change is: $\text{Average Rate of Change} = \frac{\text{Change in Population}}{\text{Change in Time}}$

1. For the years 2010 to 2012:

• In 2010, the population is 645 students.
• In 2012, the population is 720 students.

$\text{Average Rate of Change} = \frac{720 - 645}{2012 - 2010} = \frac{75}{2} = 37.5 \text{ students/year}$

2. For the years 2011 to 2014:

• In 2011, the population is 685 students.
• In 2014, the population is 760 students.

$\text{Average Rate of Change} = \frac{760 - 685}{2014 - 2011} = \frac{75}{3} = 25 \text{ students/year}$

Thus, the answers are:

1. 37.5 students/year for 2010 to 2012.
2. 25 students/year for 2011 to 2014.

Do you need any further details or clarifications?

Here are 5 related questions for further practice:

1. What is the total increase in student population from 2010 to 2014?
2. What is the average rate of change in population from 2010 to 2014?
3. What would the population be in 2015 if the trend from 2010 to 2014 continues?
4. How does the population change from 2013 to 2014 compare to the change from 2011 to 2012?
5. What is the overall percentage increase in population from 2010 to 2014?

Tip: The average rate of change gives a simple linear view of how a population grows or decreases over time, but real-world populations often fluctuate, so additional data points could reveal a more complex pattern!