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Kendra is considering two different long-distance phone plans. Phone plan A charges a $100 sign-up fee and 3 cents per minute. Phone plan B does not charge a sign-up fee, but it charges 5 cents per minute.

Enter the number of minutes where Kendra will pay the same amount for each long distance phone plan.

Respuesta :

calculista

Answer:

The number of minutes in a month must be equal to 50 minutes

Step-by-step explanation:

Let

x ---> the number of minutes

we have

Cost Plan A

[tex]3x+100[/tex]

Cost Plan B

[tex]5x[/tex]

we know that

In order for plan A cost the same than plan B, the following equation must hold true.

cost of plan A = cost of plan B

substitute

[tex]3x+100= 5x[/tex]

solve for x

[tex]5x-3x=100\\2x=100\\x=50\ min[/tex]

therefore

The number of minutes in a month must be equal to 50 minutes

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