Let's assume
total miles is x
case-1:
initial fee is $ 65
additional rate is $0.20 per mile
so, the total cost = initial fee + x* additional rate
[tex]C=65+0.20x[/tex]
case-2:
initial fee is $ 0
additional rate is $0.70 per mile
so, the total cost = initial fee + x* additional rate
[tex]C=0+0.70x[/tex]
Since, both costs are same
so, we can set them equal
and we get
[tex]65+0.20x=0+0.70x[/tex]
now, we can solve for x
[tex]65=0.70x-0.20[/tex]
[tex]65=0.50x[/tex]
[tex]x=130[/tex]
so, it would take 130 miles to drive for the two plans to cost the same .......Answer
