Problema Solution

I call Cox Communications (a local cable company) to ask them about adding cable with DVR service. Their installation fee is waived since I'm a current customer (now you know I made this up) but has a monthly fee of $60. Then I call Direct TV whose monthly fee is only $40, but I have to pay a $100 installment fee. My question is, at what point (how many months) is my TOTAL cost the same for each option.

PLEASE SHOW WORK

Answer provided by our tutors

let 'x' represent the number of months both services are represented


Cox costs: 60x

Direct TV: 40x + 100


After the number of months when both scenarios cost the same amount:

60x = 40x+100

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solve for x

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x=5


Both scenarios will cost the same after five months, so once past five months the cost will be less for Direct TV.