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 nonnegative rational numbers C.) all nonnegative integers that are multiples of 9 D.) all nonnegative 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 nonnegative integers less than or equal to 100 Ask Algebra House Comments are closed.

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