Question

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 in the number of students in the band. the number of students in the band increased by \boxed{} per year.

Explanation:

Step1: Find the change in number of students

The number of students in 2012 is 275 and in 2018 is 305. So the change in number of students is \( 305 - 275 = 30 \).

Step2: Find the number of years

The time period is from 2012 to 2018, so the number of years is \( 2018 - 2012 = 6 \) years.

Step3: Calculate the annual rate of change

The annual rate of change is the change in number of students divided by the number of years. So it is \( \frac{30}{6} = 5 \).

Answer:

5