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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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2021-08-18T04:13:22+00:00
2021-08-18T04:13:22+00:00 1 Answers
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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.