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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

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alinakincsem

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:

[tex]c_1=28+0.14t[/tex]

2nd plan:

[tex]c_2=8+0.18t[/tex]

Setting the monthly costs equal to each other to get:

[tex]28+0.14t=8+0.18t[/tex]

[tex]0.18t-0.14t=28-8[/tex]

[tex]0.04t=20[/tex]

[tex]t=500[/tex]

when call minutes [tex]t=500[/tex], then the cost of the plans are:

1st plan: [tex]c_1=28+0.14*500[/tex]

[tex]c_1=28+70[/tex]

[tex]c_1=98[/tex]

2nd plan: [tex]c_2=8+0.18*500[/tex]

[tex]c_2=8+90[/tex]

[tex]c_2=98[/tex]

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