Question

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 installation fee. My question is, at what point?

Answer 1

At 5th month, the two options are equal

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

My question is, at what point is my TOTAL cost the same for each option

My answer:

Let n is is the number of months.

Given that:

• 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.

<=> The total fee can be modeled in this equation: 0 + 60n

• Direct TV whose monthly fee is only $40, but I have to pay a $100 installation fee

<=> The total fee can be modeled in this equation: 100 + 40n

To find the point that make TOTAL cost the same for each option, we set the two options equal:

<=> 0 + 60n = 100 + 40n

<=> 20n = 100

<=> n = 5 months

So at 5th month, the two options are equal