Question

The table shows two options provided by a high-speed Internet provider.Setup Fee ($) Cost per Month ($)Option 1 4520Option 2 No setup fee$35Part 1 out of 2In how many months will the total cost of both options be the same? WhatIn months the total cost of both options will be the same. That cost

Answer 1

Ok, so

We have that, for option 1:

The total cost of the service will be:

20x + 45. Where x is the number of months.

Fot option 2, the total cost will be:

35x + 0. Where x is the number of months.

If we equal both equations, we obtain:

20x + 45 = 35x.

Now, we have to solve this equation to find the number of months in which the cost will be the same for two options.

Then, 45 = 15x and x=3.

So, the number of months is 3.

Then, that cost can be found, if we replace x=3 in any equation. For example, in equation 2:

Cost = 35x which is equal to 35*3 and this is 105.

So, after 6 months:

Option 1 will be equal to: 20(6) + 45 and this is: 165$.

Option 2 will be equal to 35(6) and this is: 210$.

Then, Option 1 will be the cheaper option.