Answer:
At 5th month, the two options are equal
Explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
<em> My question is, at what point is my TOTAL cost the same for each option </em>
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