Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $9 monthly fee
and charges an additional $0.11 for each minute of calls. The second plan has a $19 monthly fee and charges an additional $0.07
for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
minutes

Respuesta :

To find the number of minutes for which the costs of the two plans are equal, we can set up an equation.

Let's assume the number of minutes of calls is represented by 'm.'

For the first plan:
Cost = $9 (monthly fee) + $0.11 (per minute charge) * m

For the second plan:
Cost = $19 (monthly fee) + $0.07 (per minute charge) * m

We want to find the value of 'm' where the costs are equal. So, we set up the equation:

9 + 0.11m = 19 + 0.07m

Simplifying the equation:
0.11m - 0.07m = 19 - 9
0.04m = 10

Dividing both sides of the equation by 0.04:
m = 10 / 0.04
m = 250

Therefore, the costs of the two plans will be equal for 250 minutes of calls.