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26 September, 21:44

A movie theater seats 500 people. For any particular show, the amount of money the theater makes is a function, m (n), of the number of people, n, in attendance. If a ticket costs $6, find the domain and range of this function.

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  1. 27 September, 01:20
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    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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