Question

jessica travels frequently for her job. whenever she has to go out of town, she pays a kennel $45 per night to board her dog, wiggles. the function c(n) represents the cost, in dollars, of n nights of boarding wiggles. what is the domain of c(n)?

Answer 1

The domain of the cost function c(n) for boarding a dog at a kennel is the set of all non-negative integers, representing any whole number of nights.

Step-by-step explanation:

The student is asking about the domain of the function c(n) that represents the cost of boarding a dog named Wiggles for n nights at a kennel, where the fee is $45 per night.

The domain of the function c(n) is the set of all possible values of n that makes the function valid. Since you cannot board a dog for a negative or a fraction of a night, and assuming that there is no upper limit set by the kennel for how long a dog can be boarded, the domain of c(n) consists of all non-negative integers.

Therefore, the domain can be expressed as n ∈ {0, 1, 2, 3, ...}, where n is the number of nights Wiggles is boarded.