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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?

1 Answer

4 votes

Answer:

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

User Anton Temchenko
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