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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

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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.

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