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24 April, 18:13

The student population at Oak Mountain High School for a given year can be modeled by the function P (t) = 550 (1.12) ^t, where t is the number of years since 1995. How many students were there in 1995?

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  1. 24 April, 20:18
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    There were 550 students in the school in the year 1995

    Step-by-step explanation:

    In this question, given the exponential equation, we are asked to calculate the number of students in a particular year.

    The exponential equation expected to be used is given as;

    P (t) = 550 (1.12) ^t

    Now we are told that t is the number of years since 1995 and we are told to calculate the number of students in that same year 1995. Thus, the value of t would be 1995-1995 = 0

    We substitute this value of t into the equation;

    P (0) = 550 (1.12) ^0

    Since anything raised to the power of zero is 1, then;

    P (0) = 550 * 1 = 550
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