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) ?

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.