Question

A moving company charges a flat rate of $150, and an additional $5 for each box. if a taxi service would charge no flat rate and $20 for each box, how many boxes would you need for it to be cheaper to use the moving company? (do not label your answer)

Answer 1

Let the number of boxes = x

moving company:

Total cost = 150 + 5x

taxi service:

Total cost = 20x

For the moving company to be cheaper:

150 + 5x < 20x

150 < 20x - 5x

150 < 15x

10 < x

x > 10

Answer: Moving company is cheaper when there is more than 10 boxes.