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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

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D. all non-negative integers less than or equal to 100

Answer:

D. All non-negative integers less than or equal to 100

Step-by-step explanation:

For the given function,

m(n)=9n represent the amount of money theater takes in on Thursday nights,

In Option a)

All whole numbers, Since it contains negative numbers as well. It's wrong option

In Option b)

All non-negative rational numbers, Since we are taking numbers till 100, Therefore this option is also incorrect.

In Option c)

All non-negative integers that are multiples of 9,

Since we are taking all non-negative integers till 100 this option is also incorrect.

In Option d)

All non-negative integers less than or equal to 100.

In this option we are taking all non negative number till 100.

Hence we can conclude that Option D is correct.

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