Car rental company A charges $13.00 per day plus $0.28 per mile. Car rental company B charges $25.00 per day plus $0.08 per mile. For what number of miles is the cost per day the same?

Respuesta :

For 60 miles per day, the cost will be same.

Step-by-step explanation:

Company A;

Per day charge = $13.00

Per mile charge = $0.28

Let,

m represent the number of miles per day.

A(x) = 0.28x+13.00  

Company B;

Per day charge = $25.00

Per mile charge = $0.08

B(x) = 0.08x+25.00

For same number of miles;

A(x) = B(x)

[tex]0.28x+13.00=0.08x+25.00\\0.28x-0.08x=25.00-13.00\\0.20x=12.00\\[/tex]

Dividing both sides by 0.20

[tex]\fac{0.20x}{0.20}=\frac{12.00}{0.20}\\x=60[/tex]

For 60 miles per day, the cost will be same.

Keywords: function, division

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