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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: $15

Between 3 and 7 hours: 522

7 or more hours: $30

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


Sagot :

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.