the table shows two options provided by high speed internet. option 1 have set up fee of $50 with $30 per month. option 2 have no set up fee and is $40 per month. in how many months will the total cost of both options be the same? what will that cost be? if you plan to cancel your internet service after 9 months, which is the cheaper option?
Let us take the case of first option first Set up fee that need to paid = $50 Per month charge of using internet = $30 Now let us take the case of the second option Set up fee that need to be paid = $0 Per month charge of using the internet = $40 Let us assume the number of months after which both options will be same = x Then 50 + 30x = 40x 40x - 30x = 50 10x = 50 x = 50/10 = 5 So after 5 months both the options will be same Now to find the cost after 5 months we can take any option for calculating = 40x = (40 * 5) dollars = 200 dollars So after 5 months that amount that need to be paid is $200 for any of the plans In case of the first option, Cost after 9 months = 50 + 30x = 50 + (30 * 9) = 50 + 270 = 320 dollars After 9 months the cost using second option = 40x = (40 * 9) = 360 dollars So after 9 months the first option will be cheaper.
