Question

Franco and Marta are getting high-speed Internet access at the same time. Franco’s provider charges $60 for installation and $42.95 per month. Marta’s provider has free installation and charges $57.95 per month. After how many months will Franco and Marta have paid the same amount for high-speed Internet service

Answer 1

Franco and Marta will have paid the same total amount for their high-speed Internet service after 4 months. This is found by setting the total costs equal for both Franco and Marta and then solving for the number of months.

Step-by-step explanation:

To determine after how many months Franco and Marta will have paid the same amount for high-speed Internet service, we need to set up an equation where the total cost for each person is equal. Let's denote the number of months as x. Franco's total cost will be the installation fee plus the monthly rate times the number of months, resulting in $60 + $42.95x. Marta's total cost, with no installation fee, is simply her monthly rate times the number of months, or $57.95x.

We can now set up the equation to find the number of months where both total costs are equal: $60 + $42.95x = $57.95x. Solving for x gives us x = $60 / ($57.95 - $42.95). Calculating this, we find that x = $60 / $15 = 4 months. After 4 months, Franco and Marta will have paid the same amount for high-speed Internet service.