Sandy is upgrading her Internet service. Fast Internet charges $15 for installation and $56.45 per month. Quick Internet has free installation but cha

SchachtN

SchachtN

Answered question

2020-11-06

Sandy is upgrading her Internet service. Fast Internet charges $15 for installation and $56.45 per month. Quick Internet has free installation but charges $58.95 per month. Complete the equation that can be used to find the number of months after which the Internet service would cost the same. Use the variable x to represent the number of months of Internet service purchased.

Answer & Explanation

Dora

Dora

Skilled2020-11-07Added 98 answers

If xx represents the number of months and Fast Internet charges $56.45 per month, then the monthly cost for Fast Internet is 56.45x dollars. Since Fast Internet also charges a $15 installation fee, then the total cost for Fast Internet is 56.45x+15
Since Quick Internet charged $58.95 per month, then the monthly cost for Quick Internet is 58.95x dollars. Since Quick Internet does not charge an installation fee, then the monthly cost and total cost are the same for Quick Internet. The total cost for Quick Internet is then 58.95x.
If the total costs of the two companies are the same, then 56.45x+15=58.95x

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