Question

A box of pencils costs $10.The total cost (c) as a function of the number of boxes (b) is expressed as c = f(b) = 10b. What is the domain of this function?

Answer 1

The function is c(b) = 10b. The domain is the possible set of values that can take the independent function, this is b. Given that b refers to a number of boxes, which should be a non negative whole number, it may be any natural number, this is 0, 1, 2, 3, 4, 5, ... and you can express the domain as the set of the natural numbers. Answer: the domain is the set of the natural numbers.

Answer 2

For this case we have the following function:

c = f (b) = 10b

Where,

b: number of boxes

c = f (b): total cost

The domain of the function is:

b ∈ [0, ∞)

Where, the numbers belonging to the domain are whole numbers.

Therefore, the domain of the function are all natural numbers

Answer:

The domain of the function is:

b ∈ ℕ