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Aldo is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices.Company A charges $109 and allows unlimited mileage.Company B has an initial fee of $65 and charges an additional $0.80 for every mile driven.For what mileages will Company A charge less than Company B?Use m for the number of miles driven, and solve your inequality for m.

Respuesta :

First we have to set up the inequality that convey the information given. Notice that the total cost for the car if you rent it from :

Company A is $109 no matter the mileage

Company B is m($0.80)+$65

Then the inequality to solve is:

$109[tex]\begin{gathered} 109-65<\text{ m}\cdot0.80 \\ \frac{44}{0.80}

Then we can conclude that for m>55 Company A charges less than Company B.

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