Answer: Company B charges $(15.5+0.12x) more for x miles than company A.
Explanation:
Let x = Number of miles.
Total charge = Flat charge + (charge per mile) x (Number of miles)
Given:
For Company A ,
Flat charge= $45
Charge per mile = 11 cents = 0.11 [ 1 dollar = 100 cents i.e. 1 cent = 0.01 dollar]
Total charge = 45+0.01x
For Company B,
Flat charge= $60.50
Charge per mile = 13 cents = 0.13
Total charge = 60.50+0.13x
Difference in charge = Charge for company B - Charge for company A
= 60.50+0.13x-(45+0.01x)
= 15.5+0.12x
Hence, Company B charges $(15.5+0.12x) more for x miles than company A.