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Acme Movers charges $210 plus $20 per hour to move household goods across town. Hank's Movers charges $55
per hour. For what lengths of time does it cost less to hire Hank's Movers?

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facundo3141592

For less than 6 hours, Hank's Movers charge less.

For what lengths of time does it cost less to hire Hank's Movers?

Acme movers charge $210 plus $20 per hour, so if they work for x hours they charge:

A(x) = $210 + $20*x

Hank's movers only charge $55 per hour, so here the linear equation is:

H(x) = $55*x

They charge the same amount when:

A(x) = H(x)

$210 + $20*x = $55*x

Now we can solve that to get:

$210 + $20*x = $55*x

$210 = $55*x - $20*x = $35*x

$210/$35 = x = 6

So, for 6 hours, both companies charge the same amount.

For less than 6 hours, Hank's Movers charge less.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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