Question

Company A charges $331.35 per week for a compact car with unlimited miles. Company B charges $175 per week plus $0.53 per mile, for the same car. How many miles must be driven in a week so that company A is a better deal than company B?

Answer 1

Company A is a better deal than Company B for the number of miles greater than 295 miles

Explanation:

Let

y ----> the charge per week in dollars

x ----> the number of miles

we have

Company A

`y=331.35` -----> equation A

Company B

`y=0.53x+175` -----> equation B

Solve the system by substitution

Equate equation A and equation B and solve for x

`331.35=0.53x+175`

`0.53x=331.35-175\\0.53x=156.35\\x=295\ mi`

For x=295 miles the charge in Company A and Company B is the same

therefore

Company A is a better deal than Company B for the number of miles greater than 295 miles