https://file.aiquickdraw.com/mathbot/file/1727706930016q858kymw.jpg

To solve the problem in the image, we need to find the rate of change in the number of students receiving scholarships between the years 2011 and 2014.

The formula for the rate of change is:

\[
\text{Rate of change} = \frac{\text{Change in the number of students}}{\text{Change in time (years)}}
\]

### Given Data:
- In 2011, there were 52 students.
- In 2014, there were 54 students.

### Step-by-Step Solution:
1. **Change in the number of students**:
   \[
   54 - 52 = 2 \text{ students}
   \]

2. **Change in time** (from 2011 to 2014):
   \[
   2014 - 2011 = 3 \text{ years}
   \]

3. **Rate of change**:
   \[
   \frac{2 \text{ students}}{3 \text{ years}} = 0.67 \text{ students per year (rounded to the nearest tenth)}
   \]

Thus, the rate of change between 2011 and 2014 is **0.7 students per year**.

Would you like further clarification, or should we discuss more related problems?

### Related Questions:
1. What is the rate of change between 2012 and 2015?
2. How would you calculate the rate of change between 2013 and 2015?
3. What is the total increase in students from 2011 to 2015?
4. What is the average number of students receiving scholarships from 2011 to 2015?
5. How does the rate of change between 2011 and 2014 compare to the rate between 2014 and 2015?

### Tip:
Always check if the rate of change is positive (increase) or negative (decrease) by observing the values over time!

According to the table, what was the rate of change between 2011 and 2014?

Calculate the rate of change in the number of students receiving scholarships at Sweeney University from 2011 to 2014. Learn how to apply the rate of change formula and interpret the result. Suitable for Grades 6-8.

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