A school district currently has 12,000 students based on declining enrollment figures the numbers of students in the school district is expected to decline by 5% each year which of the following function represents the number of students S in the school district after n years

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)^nS=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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since proposition states that a number is greater than 25, if is true then the number must actually be greater than 25.

this implies that all possible options, except 24, can be accepted