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It is the middle of the heatwave, and you AC unit has broken. You have 2 companies that come highly qualified. Company A charges $200 to come out plus $50 per hour to look at your AC and determine what is wrong. Company B charges $125 plus $75 an hour for the same exact service.

After how many hours (x) will both companies charge you the same amount(y)?

Respuesta :

facundo3141592

By solving a linear equation, we will see that after 3 hours, both companies will charge the same amount.

After how many hours will both companies charge you the same amount?

We know that company A charges $200 plus $50 per hour. So if they work for x hours, they charge:

A(x) = $200 + $50*x

And company B charges $125 plus $75 per hour, so if they work for x hours, they charge:

B(x) = $125 + $75*x

We want to find the value of x such that A(x) = B(x), then we want to solve the linear equation:

$200 + $50*x = $125 + $75*x

$200 - $125 = $75*x - $50*x

$75 = $25*x

$75/$25 = x = 3

This means that after 3 hours, both companies will charge the same amount.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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