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21 January, 22:47

Let f (x) = x, where x is the number of people seated on a bus that has a maximum seating

capacity of 50. What are the reasonable values for the domain of f (x) ?

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  1. 22 January, 01:36
    0
    D = x ∈ W

    Step-by-step explanation:

    If x is the number of people (seated on a bus) and the maximum seating is 50, we assume the maximum number of people that can sit on a bus is 50.

    Domain expresses all of the possible values of x in set notation.

    The domain is stated within curly brackets { }. Each piece of information is divided by a "vertical bar pipe" which is |. It's on the same key as the backslash /.

    First, state the type of numbers that can be the number of people seated.

    The main types are Z, R, N and W.

    Z is integers, all positive and negative non-partial numbers including 0.

    R is real numbers, all positive and negative, non-partial and partial numbers including 0.

    N is natural numbers, non-partial numbers starting from 1, so 0 is not included.

    W is whole numbers, non-partial numbers start from 0, so including 0.

    Since you cannot have a negative number of people, you cannot have a part of a person, and you can have 0 people, the type is W whole.

    D = x ≤ 50

    The domain is x is an element of all whole numbers, x is less than or equal to 50.
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