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

Answer:

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

Step-by-step 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: $c_2=8+0.18*500$

$c_2=8+90$

$c_2=98$