Question

let c be the function whose graph is given to the right. this graph represents the cost c of using m anytime cell - phone minutes in a month for a five - person family plan. now interpret the value of c(3000). choose the correct interpretation below. a. the value of c(3000) represents the monthly charge if 3000 minutes are used. b. the value of c(3000) represents the monthly charge if each person on the plan uses 3000 minutes. c. the value of c(3000) represents the minutes used that correspond to a monthly charge of $3000. (d) what is the domain of c? what does this domain imply in terms of the number of anytime minutes? the domain is {m|0≤m≤13800}. the domain implies that there are anytime minutes

Explanation:

Step1: Recall function - domain concept

The domain of a function is the set of all possible input values. Here, the input variable is the number of anytime - minutes \(m\) used in a month for a five - person family plan.

Step2: Analyze the given domain

The domain is \(0\leq m\leq13800\). This means that the number of anytime minutes used by the five - person family plan in a month can range from \(0\) minutes (the least amount of minutes they could use) to \(13800\) minutes (the maximum amount of minutes they could use).

Step3: Interpret \(C(3000)\)

In a function \(y = C(x)\), when \(x = 3000\) (in this case \(x=m\)), \(C(3000)\) represents the output of the function for the input \(m = 3000\). Since \(C\) is the cost function and \(m\) is the number of anytime minutes, \(C(3000)\) represents the monthly charge if \(3000\) minutes are used.

Answer:

A. The value of \(C(3000)\) represents the monthly charge if \(3000\) minutes are used.
The domain \(\{m|0\leq m\leq13800\}\) implies that there are a minimum of \(0\) and a maximum of \(13800\) anytime minutes that the five - person family plan can use in a month.