Question

A cell phone service provider offers a plan that charges $18.40 per month and $0.12 per minute of phone call usage. If a person wants to spend no more than $40 every month, how many minutes of phone calls can they make monthly?

Answer 1

the person can make a maximum of 180 minutes of phone calls per month while spending no more than $40.

Explanation:

To determine the number of minutes of phone calls a person can make while spending no more than $40 per month, we need to set up an equation based on the given information.

Let's assume the number of minutes of phone calls made in a month is represented by "m."

The monthly cost of the phone plan is $18.40, and an additional charge of $0.12 is applied per minute of phone call usage. Therefore, the total monthly cost can be calculated as follows:

Total cost = Monthly plan cost + (Cost per minute × Number of minutes)

Total cost = $18.40 + ($0.12 × m)

We know that the person wants to spend no more than $40 every month, so we can set up the following inequality:

$18.40 + ($0.12 × m) ≤ $40

To solve for the number of minutes (m), we can rearrange the inequality:

$0.12 × m ≤ $40 - $18.40

$0.12 × m ≤ $21.60

Dividing both sides of the inequality by $0.12:

m ≤ $21.60 / $0.12

m ≤ 180

Therefore, the person can make a maximum of 180 minutes of phone calls per month while spending no more than $40.