QuestionWhat is the domain of the ticket sales function if a theater sells up to 10 tickets? Options: 1. 2. All integers 3. Whole numbers 4. All real numbers.
Studdy Solution
STEP 1
Assumptions1. The movie theater sells up to10 tickets at a time online.
. The number of tickets sold cannot be a fraction or a decimal, it must be a whole number.
3. The number of tickets sold cannot be negative.
STEP 2
The domain of a function is the set of all possible input values (often referred to as 'x' values) that will yield a valid output from a particular function. In this case, the function is the number of tickets that the movie theater sells online.
STEP 3
Since the movie theater sells up to10 tickets at a time online, the maximum number of tickets that can be sold at once is10. This is the upper limit of our domain.
STEP 4
Since the number of tickets sold cannot be negative (you can't sell a negative number of tickets), the minimum number of tickets that can be sold at once is0. This is the lower limit of our domain.
STEP 5
Since the number of tickets sold must be a whole number (you can't sell a fraction or a decimal number of tickets), the domain must consist of whole numbers only.
STEP 6
Taking into account all the above considerations, the domain of the function is the set of whole numbers from0 to10.
The correct option is Whole numbers from0 to10.
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