Question

Write and solve an equation to find the month when you would pay the same total amount for each internet service. Given the following information:

Company A:
Installation Fee: $90.00
Monthly Fee: $25.00
Company B:
Installation Fee: $35.00
Monthly Fee: $30.00
Write and solve an equation to determine in which month the total cost for both companies would be equal.

Answer 1

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.