Customers of a phone company can choose between two service plans for long distance calls. the first plan has no monthly fee but charges for each minute of calls. the second plan has a monthly fee and charges an additional for each minute of calls. for how many minutes of calls will the costs of the two plans be equal?

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Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge  of additional $d for every minute.

Step-by-step explanation

Assume that the price of each minute in the first plan is $c and that the second plan charges a flat rate of $P and a charge  of additional $d for every minute.

Thus, the monthly cost of a customer who consumes x minutes in each plan is:

For the first plan:

and for the second plan:

Considering that the monthly costs must be the same in each plan, you have to:

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\\x= P/(c -d)" />.

For example if , Then the number of minutes would be,  and the total cost for each plan would be

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