Final answer:
The range of the function T(n) = 5n, which represents the total income from selling movie theater tickets, is from 0 to $500, corresponding to 0 to 100 tickets sold.
Step-by-step explanation:
The function T(n) = 5n represents the total amount of money the theater can take in, with n representing the number of tickets sold. Each ticket costs $5, so 5n gives us the total income for n tickets sold. The number of tickets that can be sold (n) is from 0 (no tickets sold, theater is empty) to 100 (the theater is at full capacity). So, the range of this function, or the possible values for T(n), can be from 0 to $500. This is because the least amount of money the theater can take in is $0 (0 tickets sold), and the most it can take in is $500 (100 tickets at $5 each).
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