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.

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)

the image of (6, 9) under a dilation is (4, 6). the scale factor is