SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $22 monthly fee and charges an additional $0.13 for each minute of c

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $22 monthly fee and charges an additional $0.13 for each minute of c      Log On


   



Question 550032: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $22 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has an $8 monthly fee and charges an additional $0.18 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = time of calls in minutes
Let C = cost of plan
Let the period of each plan = 1 month
1st plan:
+C+=+22+%2B+.13t+
2nd plan:
+C+=+8+%2B+.18t+
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Set the costs equal to each other
+22+%2B+.13t+=+8+%2B+.18t+
+.18t+-+.13t+=+22+-+8+
+.05t+=+14+
+t+=+280+
When call minutes = 280, the cost of the plans are equal
check answer:
+C+=+22+%2B+.13%2A280+
+C+=+22+%2B+36.4+
+C+=+58.4+
and
+C+=+8+%2B+.18%2A280+
+C+=+8+%2B+50.4+
+C+=+58.4+
OK