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)

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  more than 410

Step-by-step 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.

step-by-step explanation: yes

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula