Final answer:
The total cost for internet services from Company A and B will be the same after 11 months, which is determined by setting up and solving an equation based on their respective fees.
Step-by-step explanation:
To find the month when the total amount paid for internet service from both Company A and Company B is the same, we can set up an equation based on their fees. Company A has an installation fee of $90.00 and a monthly fee of $25.00. Company B has an installation fee of $35.00 and a monthly fee of $30.00.
Let's let x represent the number of months. For Company A, the total cost after x months would be the installation fee plus the monthly fee times the number of months which gives us a total cost equation of A = 90 + 25x. For Company B, the equation is B = 35 + 30x. To find when the costs are equal, we set the equations equal to each other: 90 + 25x = 35 + 30x.
Solving for x involves subtracting 25x from both sides and then subtracting 35 from both sides, yielding the equation 55 = 5x. Dividing both sides by 5 gives us x = 11. Thus, after 11 months, the total amount paid for both internet services is the same.