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  1. The domain is all the integers from 0 to 30, inclusive.

    The domain is the set of all the possible inputs (x-values), this is 0 paintings, 1 painting, 2 paintings, ... until 30 paintings.

  2. D.) All integers from 0 to 30, inclusive.

    Step-by-step explanation:

    If Rebecca has 30 paintings to sell and x is the domain, then any integer from 0-30 inclusive is your answer. It isn't sure that Rebecca will sell a painting, she can't sell more than she has, and she can't sell parts of a painting.

  3. all integers from 0 to 30, inclusive.

    Remember that domain is the set of possible input values, i.e. x-values or the number of paintings that may be sold: 0, 1, 2, 3, 4, 5, 30.

  4. Option 2 is correct.

    Step-by-step explanation:

    Rebecca has 30 paintings to sell.

    The amount of money Rebecca makes from selling x paintings is represented by a function.

    [tex]f(x)=25x[/tex]

    where, x is number of painting to sell.

    As we are given total number of painting for sell is 30.

    Domain: It is input value of x where function and situation defined.

    Minimum number of painting she could sell be 0 and Maximum number of painting she could sell be 30.

    Domain:  0≤x≤30

    Hence, All integers from 0 to 30, inclusive.

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