Question

Problem PageQuestion Customers of a phone company can choose between two service plans for long distance calls. The first plan has a monthly fee and charges an additional for each minute of calls. The second plan has an 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

Answer 1

The answer is below

Explanation:

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls. The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal

Answer: Let the number of minutes of calls that will cost the two plans to be equal be x. The first plan has a $19 monthly fee and charges an additional $0.13 for each minute of calls, therefore the total cost in x minutes = $19 + $0.13x

The second plan has a $24 monthly fee and charges an additional $0.08 for each minute of calls, therefore the total cost in x minutes = $24 + $0.08x

For the two plans to be equal, the cost of the first plan should be equal to the cost of the second plan. i.e.:

$19 + $0.13x = $24 + $0.08x

Solving for x:

`$19 + $0.13x = $24 + $0.08x\\0.13-0.08=24-19\\0.05x=5\\x=5/0.05=100\\x=100\ minutes`

It would take 100 minutes of calls for the costs of the two plans to be equal