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Let's solve the problem step by step:

### Problem:
We are given that:
- In 2012, the number of students in the band was **275**.
- In 2018, the number of students increased to **305**.
- We need to find the **annual rate of change** in the number of students from 2012 to 2018.

### Formula:
The annual rate of change is given by the formula:

\[
\text{Annual Rate of Change} = \frac{\text{Change in Number of Students}}{\text{Number of Years}}
\]

### Steps:
1. **Change in Number of Students**:
   \[
   \text{Change} = 305 - 275 = 30
   \]
2. **Number of Years**:
   \[
   2018 - 2012 = 6 \text{ years}
   \]
3. **Annual Rate of Change**:
   \[
   \text{Annual Rate of Change} = \frac{30}{6} = 5 \text{ students per year}
   \]

### Answer:
The number of students in the band increased by **5 students per year**.

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Would you like further details or have any other questions?

Here are some related questions for further exploration:
1. How would you calculate the rate of change if the number of years changed?
2. What would happen if the number of students had decreased from 2012 to 2018?
3. How can the concept of rate of change be applied to other real-world scenarios, like population growth?
4. Can you calculate the percentage increase in the number of students from 2012 to 2018?
5. How would you represent this situation graphically?

**Tip:** Always remember to clearly define the interval when calculating the rate of change!

In 2012, there were approximately 275 students in the Delaware High School band. In 2018, that number increased to 305. Find the annual rate of change from 2012 to 2018 in the number of students in the band.

This math problem calculates the annual rate of change in the number of students in a high school band, increasing from 275 students in 2012 to 305 students in 2018. Learn how to apply the formula for rate of change, suitable for Grades 6-8.

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