Answer:
The two schools will have the same number of students in 5 years.
Step-by-step explanation:
The number of students for both these schools, after t years, can be modeled by linear functions.
Central High:
Currently has 3000 students.
Enrollment increases at an average rate of 100 students per year.
So after t years, the number of students that Central High will have is:
Washington High:
Currently has 2000 students.
Enrollment increases at an average rate of 300 students per year.
So after t years, the number of students that Washington High will have is:
If enrollments continue to change at the same rate, when will the two schools have the same number of students?
We have to find t for which:
So
The two schools will have the same number of students in 5 years.