Question

The function C(t) = 400 + 30t models the number of classrooms, C. in the town of Sirap, t years from

Answer 1

Answer:

1) S(t) = C(t) × D(t)

2) S(t) = (400 + 30t)(25 + t)

Step-by-step explanation:

The function C(t) = 400 + 30t ........... (1), models the number of classrooms, C. in the town of Sirap, t years from  now.  

The function D(t) = 25 + t ......... (2) models the number of students per classroom, D, t years from now.

Then if S(t) represents the number of students in Sirap's school system t years from now, then, we can write the relation  

1) S(t) = C(t) × D(t) (Answer)

2) Hence, the formula of S(t) in terms if t is given by  

S(t) = (400 + 30t)(25 + t) (Answer)

Answer 2

Answer:

S(t)=C(t)×D(t)

S(t)=$30t^{2}+1150t+10000$