Question

In 2004, there were approximately 275 students in the Delaware high school band. In 2010, that number increased to 305. Find the annual rate of change in the number of students in the band.

Answer 1

305-275=30 You do this to find the increase of students
2010-2004=6 You do this to find the difference in year
30/6=5 The increase of students each year

Answer 2

Annual rate of change in the number of students in the band is 5 students per year.

Explanation:

In 2004, there were approximately 275 students in the Delaware high school band.

Number of students in band on 2004 = 275

In 2010, that number increased to 305

Number of students in band on 2010 = 305

Duration of years = 2010 - 2004 = 6 years

Increase in number of students in band = 305 - 275 = 30

`\\\\\texttt{Annual rate of change in the number of students in the band = }(30)/(6)\\\\\texttt{Annual rate of change in the number of students in the band = }5`

Annual rate of change in the number of students in the band is 5 students per year.