An amusement park is open for 15 hours a day, 7 days a week Their admission prices are listed below: 3 hours or less

Question

An amusement park is open for 15 hours a day, 7 days a week

Their admission prices are listed below:

3 hours or less: $15

Between 3 and 7 hours: 522

7 or more hours: $30

Part A: Identify the functions and their domains for this context.

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Amity 5 years 2021-08-18T04:13:22+00:00 1 Answers 32 views 0

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    2021-08-18T04:14:53+00:00

    Answer:

    The domains are;

    0 < x < 3 for f(x) = 15

    3 ≤ x ≤ 7 for f(x) = 22

    7 < x ≤ 15 for f(x) = 30

    Step-by-step explanation:

    The duration the amusement park is opened, t = 15 hours

    The number of days the amusement is opened = 7 days a week

    The prices for the admission are;

    x < 3 hours = $15

    3 ≤ x ≤ 7 hours = $22

    x > 7 hours = $30

    The functions are;

    f(x) = 15 when x < 3; The domain = 0 < x < 3

    f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7

    f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.

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