Answered

From simple questions to complex issues, IDNLearn.com has the answers you need. Ask your questions and get detailed, reliable answers from our community of knowledgeable experts.

Debra 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 80 cents for every mile driven. Company B charges an initial fee of $75 and an additional 70 cents for every mile driven. For what mileages will company A charge at least as much as company B? Use m for the number of miles driven, and solve your inequality for m.

Sagot :

Given that m is the number of miles driven by the truck.

From the information given,

The charge by Company A would be:

[tex]0+80\times m=80m[/tex]

The charge by Company B would be:

[tex]75+70\times m=75+70m[/tex]

If company A charges at least as much as company B, then

[tex]A\ge B[/tex]

Therefore,

[tex]\begin{gathered} 80m\ge75+70m \\ 80m-70m\ge75 \\ 10m\ge75 \\ m\ge\frac{75}{10}=7.5 \\ \text{The mileage is 7.5}\frac{miles}{cent} \end{gathered}[/tex]

Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.