Sergio and lizeth have a very tight vacation budget. they plan to rent a car from a company that charges $75 a week plus $0.25 a mile. how many miles can they travel and still keep within their $200 budget?

500 miles

Step-by-step explanation:

Given : Sergio and Lizeth have planned to rent a car from a company that charges $75 a week plus $0.25 a mile.

i.e. Fixed charge= $75

Rate per mile = $0.25

Let x denotes the number of miles.

Then, Total charges = Fixed charge+ Rate per mile x No. of miles traveled

=  $75+ $0.25x

To keep budget within $200, we have following equation.

Hence, they can travel 500 miles and still keep within their $200 budget.