Word problem

Question

Over time the enrollment of a high school can be modeled by f(t)=32t+1255. The enrollment at another high school is g(t)=27t+1380. Use the function to find the difference between the two enrollments write the answer using two different functions 

Answer 1

The difference is just f(t) - g(t):

f(t)=32t+1255

g(t)=24t+1380

                      

8t-125

 

So at t0 school g has 125 more students than school f and at t=15 g has 5 more students that f.  At t=15.625 the schools have the same number of students and for t>15.625 f's student population exceeds g's.