The enrollment at High School R has been increasing by 15 students per year. Currently High School R has 200
students attending. High School T currently has 400 students, but its enrollment is decreasing in size by an average
of 10 students per year. If the two schools continue their current enrollment trends over the next few years, how
many years will it take the schools to have the same enrollment?
Responses
6 years
6 years
8 years
8 years
4 years
4 years
9 years
Let's use "x" to represent the number of years it takes for both schools to have the same enrollment.
For High School R, its enrollment can be represented by the equation:
R(x) = 15x + 200
For High School T, its enrollment can be represented by the equation:
T(x) = -10x + 400
We want to find the value of x that makes R(x) = T(x).
15x + 200 = -10x + 400
25x = 200
x = 8
Therefore, it will take 8 years for both schools to have the same enrollment.