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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 49.98 and costs an additional 0.12 per mile driven. The second plan has an initial fee of 43.98 and costs an additional 0.17 per mile driven. How many miles would Felipe need to drive for the two plans to cost the same?

Respuesta :

Answer:

Explanation:

Given

Initial Fee for first Plan is [tex]=49.98[/tex]

Additional fee [tex]c_x=0.12/mile[/tex]

If car drives x miles then total cost

[tex]C_1=C_0+c_x\times x[/tex]

[tex]C_1=49.98+0.12\times x[/tex]

For second Plan

[tex]C_0=43.98[/tex]

[tex]c_x=0.17/mile[/tex]

For x miles

[tex]C_2=C_0+c_x\times x[/tex]

[tex]C_2=43.98+0.17\times x[/tex]

If cost of two plans are equal then

[tex]C_1=C_2[/tex]

[tex]49.98+0.12\times x=43.98+0.17\times x[/tex]

[tex]6=0.05x[/tex]

[tex]x=\frac{6}{0.05}[/tex]

[tex]x=120\ miles[/tex]      

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