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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.

User Omaha
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1 Answer

4 votes

we have

Company A = 0 + 0.70m

Company B = 50 + 0.20m

we will find A > B, so


\begin{gathered} 0.70m>50+0.20m \\ 0.70m-0.20m>50+0.20m-0.20m \\ 0.50m>50 \\ (0.50m)/(0.50)>(50)/(0.50) \\ m>100 \end{gathered}

answer: more 100 miles

User Vkammerer
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