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Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $28 monthly fee and charges an additional
50.08 for each minute of calls. The second plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. For how many minutes of calls
w the costs of the two plans be equal?

Respuesta :

mhanifa

Answer:

  • 180 minutes

Step-by-step explanation:

Let x be the number of minutes of calls.

The first plan has a $28 monthly fee and charges an additional $0.08 for each minute of calls:

  • p(f) = 0.08x + 28

The second plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls:

  • p(s) = 0.13x + 19

When p(f) = p(s) we get the following equation for x:

  • 0.08x + 28 = 0.13x + 19
  • 0.13x - 0.08x = 28 - 19
  • 0.05x = 9
  • x = 9/0.05
  • x = 180