Question

freds cell phone plan charges $40 per month for unlimited talk, text, and data. in order to get this rate, he must pay in full on the first day of each month. the function ( c(m) ) represents the cost, in dollars, of ( m ) months of service.
what is the domain of ( c(m) )?
all multiples of 40
all whole numbers greater than or equal to 1
all whole numbers less than or equal to 40
all real numbers from 1 to 40

Explanation:

Step1: Understand the domain concept

The domain of a function is the set of all possible input values. Here, the input \(n\) represents the number of months.

Step2: Analyze the nature of \(n\)

Since the number of months \(n\) cannot be negative or a fraction (you can't have half - a - month in this context of paying for a full - month plan each month), and it starts from at least 1 month (because he has to pay for the service). Whole numbers (\(n = 1,2,3,\cdots\)) are appropriate as they count the number of months.

Answer:

all whole numbers greater than or equal to 1