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 hours and 7 hours: $22
7 or more hours:$30
Identify their domains and functions for this context.

Answers

Answer 1

Answer:

f(x)=15 when: 0<x(less than or equal to)3

f(x)=22 when: 3<x<7

f(x)=30 when: 7(is less than or equal to)x

Part B- Evaluate the function for f(2): 15

Step-by-step explanation:

Algebra Nation; Section 8 topic 6

Answer 2

The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:

For f(t) = 15: 0 < t ≤ 3

For f(t) = 22: 3 < t ≤ 7

For f(t) = 30: t > 7

How to calculate the domain?

The admission prices at the amusement park can be represented as functions of the amount of time a customer spends at the park. Let's denote the amount of time by t (in hours). Then we can define the following functions:

For t ≤ 3: f(t) = 15

For 3 < t ≤ 7: f(t) = 22

For t > 7: f(t) = 30

The domain of each function is the set of all possible values of t for which the function is defined. In this case, the domain of each function is:

For f(t) = 15: 0 < t ≤ 3

For f(t) = 22: 3 < t ≤ 7

For f(t) = 30: t > 7

Note that the domain for each function reflects the fact that customers can only be charged according to the specified rates for the corresponding time intervals.

Additionally, since the amusement park is open for 15 hours a day, 7 days a week, we can say that the total operating time is 15 x 7 = 105 hours per week.

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