SOLUTION: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 one-time activation fee and charges .09 cents a minute. The sec

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Question 269262: Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $30 one-time activation fee and charges .09 cents a minute. The second plan has no activation fee and charges .14 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?

Found 2 solutions by checkley77, josmiceli:
Answer by checkley77(12844) (Show Source):
You can put this solution on YOUR website!
30+.09x=.14x
.09x-.14x=-30
-.05x=-30
x=-30/-.05
x=600 minutes will result in the 2 plans being equal.
Proof:
30+.09*600=.14*600
30+54=84
84=84

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = number of minutes used
Let = cost of plan
1st plan:

2nd plan:

The 2 costs are the same when

after 600 min the costs of the plans are the same
check:

and

OK