Question

Sandy is upgrading her Internet service. Fast Internet charges $40 for installation and $52.45 per month.

Quick Internet has free installation but charges $57.45 per month.
Part 1 out of 2
Complete the equation that can be used to find the number of months after which the Internet service
would cost the same. Use the variable x to represent the number of months of Internet service purchased.
The equation is

Answer 1

After 8 months of internet use both the connection will cost the same.

Explanation:

Fast Internet charges $40 for installation and $52.45 per month.

So, the total cost after using x months of the internet in Fast Internet will be

C = 40 + 52.45x

Quick Internet has free installation but charges $57.45 per month.

So, the total cost after using x months of the internet in Quick Internet will be

C = 57.45x

Now, if those two cost are same then

40 + 52.45x = 57.45x

⇒ 5x = 40

⇒ x = 8

Therefore, after 8 months of internet use both the connection will cost the same. (Answer)