A school district currently has 12,000 students. Based on declining enrollment figures, the number of students in the school district is expected to decline by 5% each year. Which of the following functions represents the number of students, S, in the school district after n years?

Answers

Answer 1

Answer:

S(n) = 12,000(–0.05)n

Step-by-step explanation:

Answer 2

The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]

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:

[tex]S =P(1-r)^n[/tex]

Substitute r = 0.05 and P = 12000 into the formula above

[tex]S=12000(1-0.05)^n\\\\S=12000(0.95)^n[/tex]

The function that represents the number of students, S, in the school district after n years is [tex]S=12000(0.95)^n[/tex]

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