Question

Lia can rent a van for either $90 per day with unlimited mileage or $50 per day with 250 free miles and an extra 25¢ for each mile over 250. For what number of miles traveled in one day would the unlimited mileage plan save Lia money? (Show work)

Answer 1

9514 1404 393

Answer:

more than 410

Explanation:

For x miles, the second plan costs ...

p2 = 50 +0.25(x -250)

For the first plan to be cheaper requires ...

p1 < p2

90 < 50 +0.25(x -250)

40 < 0.25(x -250) . . . . . . subtract 50

160 < x -250 . . . . . . . divide by 0.25

410 < x . . . . . . . . . add 250

For more than 410 miles in one day, the unlimited plan would save money.