Question

A family wants to rent a car to go on vacation. Company A charges $45.50 and 11c per mile. Company B charges $60.50 and 13c per mile. How much does Company B charge for x miles than company A?

Answer 1

Answer: Company B charges $(15.5+0.12x) more for x miles than company A.

Step-by-step 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.