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What is a reasonable domain and range for this function?
12) As Sam rides up in an elevator, he tracks in seconds the height of the elevator.
13) Tickets to a CHS football game cost $7 each.
Identify any constraints on the domain.
14) Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the lap in minutes.
15) A business tracks its expenses each month for a year. The business maps the number of the month to the expenses.

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User Avpx
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Answer:

The reasonable domain for the function that tracks the height of the elevator in seconds as Sam rides up would be all positive real numbers. Since time cannot be negative, the domain should exclude negative numbers.

The reasonable range for this function would be all positive real numbers as well. As Sam rides up in the elevator, the height can increase indefinitely.

13) The domain for the function that calculates the cost of CHS football game tickets would be all non-negative integers. The number of tickets cannot be negative, and since tickets are usually sold in whole numbers, decimals or fractions may not be applicable in this context.

The range for this function would be all non-negative real numbers. The cost of tickets cannot be negative, and it can include zero if there are free tickets or promotions.

14) The domain for the function that tracks the number of laps Isabel swims in a 50-meter pool would be all non-negative integers from 10 to 20. Isabel swims between 10 to 20 laps, so the domain should include these values.

The range for this function would be the set of non-negative integers from 10 to 20. The number of laps she swims can only take on these specific values.

15) The domain for the function that maps the number of the month to the expenses of a business would be the set of integers representing the months of the year. This would include the numbers 1 to 12.

The range for this function would be all non-negative real numbers. Expenses cannot be negative, and they can vary in amount from month to month.

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User OammieR
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