High School

Customers of a phone company can choose between two service plans for long-distance calls. The first plan has a $26 monthly fee and charges an additional $0.07 for each minute of calls. The second plan has a $9 monthly fee and charges an additional $0.11 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal?

A) 80 minutes
B) 120 minutes
C) 160 minutes
D) 200 minutes

Answer :

Final answer:

The costs of the two plans will be equal at 425 minutes of calls.

Explanation:

To find the number of minutes of calls for which the costs of the two plans will be equal, we need to set up an equation and solve for the variable.

For the first plan, the cost is $26 + $0.07m, where m represents the number of minutes of calls. For the second plan, the cost is $9 + $0.11m.

Setting the two costs equal to each other and solving for m, we get:

$26 + $0.07m = $9 + $0.11m

Combining like terms, we get:

$0.04m = $17

Dividing both sides by $0.04, we get:

m = 425 minutes

Therefore, the costs of the two plans will be equal at 425 minutes of calls.

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