The function f(x) = 830(1.2)x represents the number of students enrolled at a university x years after it was founded. Each year, the number

Question

The function f(x) = 830(1.2)x represents the number of students enrolled at a university x years after it was founded. Each year, the number of students is ____ the number the year before.

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Hải Đăng 4 weeks 2021-08-18T03:30:22+00:00 1 Answers 0 views 0

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    2021-08-18T03:31:53+00:00

    Answer:

    1.2 times or 20%

    Step-by-step explanation:

    Given the function ; f(x) = 830(1.2)^x

    This is an exponential function ;

    Recall the general form of an exponential function ; f(x) = ab^x ;

    Where a = Initial value ; b = growth rate

    Hence, b = 1.2

    Also, b = 1 + r

    1.2 = 1 + r

    r = 1.2 – 1

    r = 0.2

    r = 0.2 * 100% = 20%

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