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Charmaine is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A has no initial fee but charges 70 cents for every mile driven. Company B charges an initial fee of $50 and an additional 20 cents for every mile driven. For what mileages will company A charge more than company B? Use m for the number of miles driven, and solve your inequality for m.

Respuesta :

we have

Company A = 0 + 0.70m

Company B = 50 + 0.20m

we will find A > B, so

[tex]\begin{gathered} 0.70m>50+0.20m \\ 0.70m-0.20m>50+0.20m-0.20m \\ 0.50m>50 \\ \frac{0.50m}{0.50}>\frac{50}{0.50} \\ m>100 \end{gathered}[/tex]

answer: more 100 miles

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