A rental car company charges $77.48 per day to rent a car and $0.10 for every mile driven. Henry wants to rent a car, knowing that:
He plans to drive 250 miles.
He has at most $460 to spend.
What is the maximum number of days that Henry can rent the car while staying within his budget?
Let the number of days ==D
[77.48D + (.10 x 250) ]==460, solve for D
77.48D + 25 ==460
77.48D ==460 - 25
77.48D ==435
D ==435 / 77.48
D ==5.614 days ==~5.5 days - assuming he drives the 250 miles in 5.5 days, which will cost him $451.14
Note: If it must be a "whole number" of days, then use 5 days.