A local theater sells admission tickets for $9.00 on Thursday nights. At capacity, the theater holds 100 customers. The function M(n) = 9n represents the amount of money the theater takes in on Thursday nights, where n is the number of customers. What is the domain of M(n) in this context? Select the correct answer.
A.) all whole numbers
B.) all non-negative rational numbers
C.) all non-negative integers that are multiples of 9
D.) all non-negative integers less than or equal to 100
A.) all whole numbers
B.) all non-negative rational numbers
C.) all non-negative integers that are multiples of 9
D.) all non-negative integers less than or equal to 100
The domain of a function is the input of the function. In this case, the input, n, into the function is the number of customers. Use common sense when deciding which answer represents the number of customers:
- Number of customers cannot exceed 100, so answer A.) is out.
- There cannot be a fractional customer, so answer B.) is out.
- The number of customers does not have to be a multiple of 9, so answer C.) is out
The theater holds 100 customers at capacity.
D.) all non-negative integers less than or equal to 100
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- Number of customers cannot exceed 100, so answer A.) is out.
- There cannot be a fractional customer, so answer B.) is out.
- The number of customers does not have to be a multiple of 9, so answer C.) is out
The theater holds 100 customers at capacity.
D.) all non-negative integers less than or equal to 100
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