A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function, m(n), of the num
ber of people, n, in attendance. If a ticket costs $6, find the domain and range of this function.
1 answer:
Given a theater has 500 seats. and a ticket costs 6$.
Let n be the number of people who bought tickets.
Then income , m(n) = 6*n
Now we need to find domain and range of above function.
Since n is number of people, it cannot be negative and theater can maximum seat 500 people that is n must be less than or equal to 500.
Hence domain is [0,500].
And minimum income will be when no tickets sold that is $0.
And maximum income will be when maximum tickets sold that is 500*6 = 3000$
Hence range is [0, 3000]
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