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So the question is A local theater sells admission tickets for $9.00 on Thursday nights, where n is the number of customers M(n) the amount of money the theater takes What is the domain of M( n ) in this context

Sagot :

Domain of a function

We have the function M(n):

M( n ) = 9 · n

which describes the amount of money the theater takes.

Since the domain of a function refers to the values n can take and n is the number of costumers

In this particular case we do not have a restriction of the number of costumers. Then n can take the following values:

n = 0, 1 , 2, 3, ...

Domain: all non- negative integers

If the maximum capacity of the theater is 100 costumers then

n = 0, 1, 2, 3, ..., 100

Therefore its domain would correspond to

Domain: all non- negative integers less than or equal to 100

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