Question

The daily cost of production in a factory is calculated using c(x) = 200 +16 x, where x is the number of complete products manufactured. which set of numbers best defines the domain of c(x) and please explain why it is that answer

A) integers
B) Positive real numbers
C) positive rational numbers
D) whole numbers

Answer 1

The domain of the production cost function, c(x) = 200 + 16x, corresponds to whole numbers, as only complete products (counted as non-negative integers) can be manufactured.

Step-by-step explanation:

The domain of the function c(x) = 200 + 16x, which represents the daily cost of production in a factory, with x as the number of complete products manufactured, is best defined by the set of whole numbers. Rational or real numbers do not make sense in this context because one cannot produce a fraction or irrational portion of a product. Additionally, only positive counts or zero makes sense because negative production is not feasible. Therefore, the domain must consist of counts that include zero and positive integers, which directly aligns with the definition of whole numbers.

Answer 2

Given:The daily cost of production in a factory is calculated using

c(x) = 200 +16 x, where x is the number of complete products manufactured.

Complete products manufactured will can not be a decimal or fraction number.

The domain of function c(x) will be the set of values x can take.x will be a set of whole numbers.Whole numbers are positive numbers, including zero, without any decimal or fractional parts.

Option D) whole numbers is the right answer.