Question

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee

of $8.00 for the phone service. You can talk for no more than 200 minutes in a month. What
is the domain of this situation?

Answer 1

This means that the domain of this situation is
`m \in [0,200]`, that is, you can talk between 0 and 200 minutes in the month.

Explanation:

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for the phone service.

This means that the cost of speaking for m minutes is given by:

`C(m) = 8 + 0.12m`

You can talk for no more than 200 minutes in a month.

This means that:

`m \leq 200`

What is the domain of this situation?

The domain of a function is the input variable.

In function C(m), m is the input variable, and since you can talk for no more than 200 minutes in a month, the restriction for the input is
`m \leq 200`.

This means that the domain of this situation is
`m \in [0,200]`, that is, you can talk between 0 and 200 minutes in the month.