Question

Question 2 (1 point)

The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of

people being served, X. The mathematical domain for the function is the set of real numbers.

Which statement describes the limitation for the reasonable domain compared to the mathematical domain?

Answer 1

Options:

The reasonable domain contains only positive real numbers.

The reasonable domain contains only positive whole numbers.

The reasonable domain contains only real numbers greater than 3.

The reasonable domain contains only rational numbers greater than 3.

Answer:

(b) The reasonable domain contains only positive whole numbers.

Explanation:

Given

`f(x) = 0.5x + 3`

Required

True statement about the limitation of the domain

Since the domain (x) represents people, then it must be a positive whole numbers

This eliminates options (a) and (c)

The range of the function is not given. So, we can assume that any number of people can be present.

This eliminates option (d).

Hence: (b) answers the question