SOLUTION: A theater's maximum capacity is 500 people. The price of admission at the theater is $515. The function R(n)=15n describes the relationship between the revenue and n, the number of

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Question 1102290: A theater's maximum capacity is 500 people. The price of admission at the theater is $515. The function R(n)=15n describes the relationship between the revenue and n, the number of tickets sold. What values of n represents a reasonable domain for this function?
A. any real number n, such that 0≤n≤500
B. any whole number n, such that 0≤n≤7500
C. any whole number n, such that 0≤n≤500
D. any real number

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Answer: C. any whole number n, such that 0%3C=n%3C=500

The smallest that n can be is 0, representing the fact that no tickets are sold. On the other side of the spectrum, n = 500 is the max number of tickets that can be sold (assuming overbooking is not allowed) due to the 500 seats available. So that is how the inequality 0%3C=n%3C=500 is formed. If you want to break it down further, then it would be the combination of 0+%3C=+n (aka n+%3E=+0) and n+%3C=+500

The variable n can only take on whole number values. Something like n = 2.5 isn't possible.