Question

a spectrum home internet plan costs $50 a month and comes with a free router that costs $200. a cox home internet plan costs $40 a month but you have to buy the $200 router on your own. if you buy the $200 router and choose the cox plan, how many months is it until your cost is the same as the spectrum plan without the free router?

Answer 1

It would take 20 months for the cost of the Cox internet plan plus the $200 router to equal the cost of the Spectrum internet plan without a free router. This is calculated by equating the monthly costs and solving for the number of months.

Step-by-step explanation:

The question is asking which internet service plan is more cost-effective over time by comparing the total costs of two different plans, considering the initial cost of purchasing a router for one of the plans.

To find out in how many months the cost of the Cox plan equals the Spectrum plan, you would set up an equation where the cost of the Spectrum plan, which is $50 per month, equals the cost of the Cox plan, $40 per month, plus the cost of the router, $200.

The equation would be:

50m = 40m + 200

Where m represents the number of months. By subtracting 40m from both sides of the equation, we get:

10m = 200

Dividing both sides by 10 gives us the number of months:

m = 20

Therefore, it would take 20 months for the cost of the Cox internet plan, including the router, to equal the cost of the Spectrum internet plan without the free router.