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,

Question

3 years ago

8

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:

Vladimir [108] · Answer 1 · 2021-12-13T00:56:18+03:00

Answer:

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

Step-by-step explanation:

Let

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

x ----> the number of miles

we have

<em>Company A</em>

$y=331.35$ -----> equation A

<em>Company B</em>

$y=0.53x+175$ -----> 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