Question

Jason owns a cabin that he rents to people for a maximum of 21 nights. He uses the function f(x) = 175x + 50 to calculate the rental cost for nightsWhat is the domain for the function in this context?

Answer 1

The domain for Jason's cabin rental function is 0 ≤ x ≤ 21, x ∈ ℝ, representing all the real numbers from 0 to 21 inclusive.

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In the context of Jason's cabin rental, where he rents the cabin for a maximum of 21 nights, the domain for the function f(x) = 175x + 50 is all real numbers from 0 to 21, inclusive. This is because the cabin can be rented for any number of nights from 0 to 21. Therefore, the domain in this context is x , where ℝ represents the set of real numbers.

Answer 2

domain: all natural numbers greater than zero and less than or equal to 21

Step-by-step explanation:

You cannot go for zero nights, and the maximum number of nights you can stay is 21. You also cannot have fractional night, so your answer has to be in natural numbers.