The enrollment at High School R has been increasing by 20 students per year. High School R currently has 200 students. High School T has 400 students and is decreasing 30 students per year. When will the two school have the same enrollment of students?
Set up the Enrollment function E(y) where y is the number of years.
High School R:
Increasing means we add
E(y) = 200 + 20y
High School T:
Decreasing means we subtract
E(y) = 400 - 30y
When the two schools have the same enrollment, we set the E(y) functions equal to each other
200 + 20y = 400 - 30y
To solve this equation for y, we type it in our search engine and we get:
y = 4
Set up the Enrollment function E(y) where y is the number of years.
High School R:
Increasing means we add
E(y) = 200 + 20y
High School T:
Decreasing means we subtract
E(y) = 400 - 30y
When the two schools have the same enrollment, we set the E(y) functions equal to each other
200 + 20y = 400 - 30y
To solve this equation for y, we type it in our search engine and we get:
y = 4