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A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company an charges $60 a day plus $0.30 per mile to rent the same truck.Find the number of mile in a day at which the rental costs for company A and Company B are the same.

Respuesta :

calculista

Answer:

500 miles

Step-by-step explanation:

Let

y -----> the rental cost

x ----> the number of miles in a day

we have

Company A

[tex]y=0.20x+110[/tex] -----> equation A

Company B

[tex]y=0.30x+60[/tex] -----> equation B

Equate equation A and equation B and solve for x

[tex]0.20x+110=0.30x+60[/tex]

[tex]0.30x-0.20x=110-60[/tex]

[tex]0.10x=50[/tex]

[tex]x=500\ miles[/tex]

For x=500 miles the rental costs for company A and Company B are the same

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