Question

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

now. 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.

Answer 1

S(t)=C(t)×D(t)

S(t)=
`30t^(2)+1150t+10000`

Answer 2

1) S(t) = C(t) × D(t)

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

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)