You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $ with a charge of $0.05 per minute for all long-distance calls. Plan B has a monthly fee of $15.00 with a charge of $0.15 per minute for all long-distance calls.

Question

You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $ with a charge of $0.05 per minute for all long-distance calls. Plan B has a monthly fee of $15.00 with a charge of $0.15 per minute for all long-distance calls.

For how many minutes of long-distance calls will the costs for the two plans be the same?

Answer 1

Let's assume x is the number of minutes of long-distance calls.

For Plan A, the total cost is the sum of the monthly fee and the charge per minute: 0.05x + $6
For Plan B, the total cost is the sum of the monthly fee and the charge per minute: 0.15x + $15

To find the number of minutes where the costs for the two plans are the same, we set the total costs equal to each other:

0.05x + $6 = 0.15x + $15

Subtracting 0.05x and $15 from both sides:

$6 - $15 = 0.15x - 0.05x
-$9 = 0.10x

Dividing both sides by 0.10:

x = -$9/0.10
x = -$90/10
x = -9

Since the number of minutes cannot be negative, there is no number of minutes where the costs for the two plans are the same.

You are choosing between two​ long-distance telephone plans. Plan A has a monthly fee of ​$ with a charge of ​$0.05 per minute for all​ long-distance calls. Plan B has a monthly fee of ​$15.00 with a charge of ​$0.15 per minute for all​ long-distance calls.

Let's assume x is the number of minutes of long-distance calls.

You are choosing between two long-distance telephone plans. Plan A has a monthly fee of $ with a charge of $0.05 per minute for all long-distance calls. Plan B has a monthly fee of $15.00 with a charge of $0.15 per minute for all long-distance calls.