Question

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $29 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $11 monthly fee and charges an additional $0.17 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

Answer 1

Answer:
With 250 minutes of calls the cost of the two plans is the same

Explanation:
We must write an equation to represent the cost of each call plan.
For the first plan
Monthly fee
$ 13
Cost per minute
$ 0.17
If we call x the number of call minutes then the equation representing the cost c for this plan is:

For the second plan
monthly fee
$ 23
Cost per minute
$ 0.13
If we call x the number of call minutes then the equation representing the cost c for this plan is:

To know when the cost of both plans are equal, we equate the two equations and solve for x.



With 250 minutes of calls the cost of the two plans is the same: $55.5