Question

The number of students, SSS, serviced by the school system in the town of Emor, ttt years from 2000 can be modeled by the function S(t)=10{,}000(1.1)^t. The number of classrooms, C, in the town of Emor, t years from 2000 can be modeled by the function C(t)=450+40t. Let D be the average number of students per classroom in Emor's school system t years from 2000.

Answer 1

The formula of D (t) is .1000.(1.1)/45+4t

Explanation:

The expression representing the number of students serviced by the school system in the town of Emor, t years from 2000 is:

And the expression representing the number of classrooms in the town of Emor, t years from 2000 is: s(t)=10,000.(1.1)^t

The expression D (t) represents the average number of students per classroom in Emor's school system t years from 2000.

Then the average number of students per classroom can be computed by:

C(t)=450+40t.

Average number of students/classroom = Number of students/Number of classrooms so the answer is D (t) .1000.(1.1)/45+4t

Thus,the formula of D (t) is .