Answer:
The function that represents the number of students, S, in the school district after n years is S=12000(0.95)^nS=12000(0.95)
n
Original population , P = 12000
Rate of decline, r = 5%
r = 5/100
r = 0.05
The number of years = n
The population of students after n years will be given by the formula:
S =P(1-r)^nS=P(1−r)
n
Substitute r = 0.05 and P = 12000 into the formula above
\begin{gathered}S=12000(1-0.05)^n\\\\S=12000(0.95)^n\end{gathered}
S=12000(1−0.05)
n
S=12000(0.95)
n
The function that represents the number of students, S, in the school district after n years is S=12000(0.95)^nS=12000(0.95)
n
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