173k views
3 votes
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)?

User Epsilonpsi
by
8.2k points

1 Answer

4 votes

Answer:

D = x ∈ W

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.

User Denuka
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories