I recently cut cable and I HATE it, mostly because I miss my DVR. So as I call cable companies today this issue came to mind. I've made up these numbers, of course, but the problem is the same.

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 installation fee. My question is, at what point (how many months) is my TOTAL cost the same for each option.

Solve this by whatever means make sense to you, but be sure to show us and/or explain how you did it if you want full credit!

5 months

Step-by-step explanation:

The price for Cox Communications is $60 monthly without the installation fee. To put into a function that solves the price where x is the number of the month you bought the service, it will be:

f(x) = 60 * x

Direct TV has a $40 monthly fee but asks for a $100 installation fee. The installation fee will be charged only once, so you just add it to the function. The function of direct TV will be:

g(x)= 40*x + 100

The question asks at how many months is the total cost of Cox communication equal to the cost of Direct TV. The calculation will be:

f(x) = g(x)

60x = 40x +100

20x = 100

x= 100/20

x= 5

it is a. 4.2 because 7.6-3.4 gets the remaining length of 4.2. i might be wrong but i am pretty sure this is the answer.