Question

Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $ 28 monthly fee and charges an additional $ 0.14 for each minute of calls. The second plan has an $ 8 monthly fee and charges an additional $ 0.18 for each minute of calls. For how many minutes of calls will the costs of the two plans be equal? PLEASE HURRY THIS IS URGENT

Answer 1

For 500 minutes, the costs of the two plans are equal.

Explanation:

Let t be the time of calls in minutes; and

c be the cost of the monthly plan.

1st plan:

`c_1=28+0.14t`

2nd plan:

`c_2=8+0.18t`

Setting the monthly costs equal to each other to get:

`28+0.14t=8+0.18t`

`0.18t-0.14t=28-8`

`0.04t=20`

`t=500`

when call minutes
`t=500`, then the cost of the plans are:

1st plan:
`c_1=28+0.14*500`

`c_1=28+70`

`c_1=98`

2nd plan:
`c_2=8+0.18*500`

`c_2=8+90`

`c_2=98`