Question

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.

Answer 1

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

Explanation:

Let

x ---> the number of minutes

we have

Cost Plan A

`3x+100`

Cost Plan B

`5x`

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

`3x+100= 5x`

solve for x

`5x-3x=100\\2x=100\\x=50\ min`

therefore

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