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Felipe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $48 and costs an additional $0.18 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.14 per mile driven. For what amount of driving do the two plans cost the sameWhat is the cost when the two plans cost the same?

Respuesta :

Explanation

The cost for the first plan is:

[tex]48+0.18m[/tex]

m represents the mile driven.

The second plans cost is:

[tex]53+0.14m[/tex]

Then we have:

[tex]\begin{gathered} 48+0.18m=53+0.14m \\ 0.18m-0.14m=53-48 \\ 0.04m=5 \\ m=\frac{5}{0.04} \\ m=125 \end{gathered}[/tex]

For 125 miles the two plans cost the same, that is:

[tex]\begin{gathered} 48+0.18(125)=53+0.14(125) \\ 70.5=70.5 \end{gathered}[/tex]

Answer

For 125 miles the two plans cost the same, that is $ 70.5

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