SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $26 one-time activation fee and charges 7 cents a minute. The secon

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 $26 one-time activation fee and charges 7 cents a minute. The secon      Log On


   

Question 316885: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $26 one-time activation fee and charges 7 cents a minute. The second plan has no activation fee and charges 12 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?
Found 2 solutions by nerdybill, solver91311:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $26 one-time activation fee and charges 7 cents a minute. The second plan has no activation fee and charges 12 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?
.
Let t = minutes used
.
First plan:
.07t + 26
Second plan:
.12t
.
Set the two equal to each other and solve for t:
.07t + 26 = .12t
26 = .05t
26/.05 = t
520 minutes = t

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of minutes used.

Let represent the cost function for the first company.



Let represent the cost function for the second company.



When will ?

After some number of minutes that satisfies:



Just solve for

John