Q:

The function C(t) = 400 + 30t models the number of classrooms, C. in the town of Sirap, t years fromnow. The function D(t) = 25 + t models the number of students per classroom, D, t years from now.Let S be the number of students in Sirap's school system t years from now.2 ) Write a formula for S(t) in terms of Ct) and D(t).1 ) Write a formula of S(t) in terms of t.

Accepted Solution

A:
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)