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A university currently has 16,500 enrolled students. Due to a discounted tuition, the university expects the number of enrolled students to increase at a rate of 5% per year. If the expected increase occurs, which function represents the number of enrolled students in t years?

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opudodennis

Answer:

[tex]P(t)=16500(1.05)^t[/tex]

Step-by-step explanation:

-This is a compounding problem.

- Given the are of  growth as 5% per year and the initial population as 16500,[tex]P_o[/tex].

-Let P(t) be the population at time t, modeled as:

[tex]P(t)=P_o(1+r)^t\\ \\t-times\\P_o-Initial \ Pop\\r-growth \ rate\\\\P(t)=16500(1+0.05)^t\\\\=16500(1.05)^t[/tex]

Hence, the population at t years is given by [tex]P(t)=16500(1.05)^t[/tex]

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