Question

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $27 monthly fee and charges an additional $0.12 for each minute of calls. The second plan has no monthly fee but charges $0.17 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer 1

540 minutes

Explanation:

Create expressions to represent the costs of both service plans, where x is the number of minutes of calls:

0.12x + 27 will represent the first one

0.17x represents the second one

Then, set them equal to each other. Solve for x to find how many minutes of calls will make the prices equal.

0.12x + 27 = 0.17x

27 = 0.05x

540 = x

So, the costs of the 2 plans will be equal after 540 minutes.