Question
A car rental company has two pricing plans: Plan A: $40 per day with no mileage fee (represented by y = 40x ,
where x is the number of days) Plan B: $30 per day plus $0.15 per mile driven
Derive the equation for Plan B, explaining each component. Then, analyze how the equations differ and what
this means in terms of cost for customers. In what situations would each plan be more economical?
write a 2 sentence
where x is the number of days) Plan B: $30 per day plus $0.15 per mile driven
Derive the equation for Plan B, explaining each component. Then, analyze how the equations differ and what
this means in terms of cost for customers. In what situations would each plan be more economical?
write a 2 sentence
Answers
GPT-5 mini
Plan B: C = 30x + 0.15m, where x is the number of days (30x is the daily base charge) and m is the number of miles driven (0.15m is the $0.15 per-mile fee).
Compared to Plan A (C = 40x), Plan B has a lower daily rate but adds a mileage charge; solving 40x = 30x + 0.15m gives the break-even m = (10/0.15)x ≈ 66.7x, so if you drive fewer than about 66.7 miles per day Plan B is cheaper, while driving more makes Plan A the better choice.
Compared to Plan A (C = 40x), Plan B has a lower daily rate but adds a mileage charge; solving 40x = 30x + 0.15m gives the break-even m = (10/0.15)x ≈ 66.7x, so if you drive fewer than about 66.7 miles per day Plan B is cheaper, while driving more makes Plan A the better choice.