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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)

Respuesta :

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.

fichoh

Creating a cost function for both company, in other for moving company to be a cheaper alternative, then the number of boxes should be greater than 10.

Let x = number of boxes :

The cost function of the moving company :

  • C(x) = 150 + 5x

The cost function of Taxi :

  • C(x) = 20x

For moving company to be cheaper :

  • 150 + 5x < 20x

Solve for x

150 + 5x < 20x

5x - 20x < - 150

-15x < - 150

x < 150/15

x < 10

Therefore, for moving company to be cheaper, number of boxes should be greater than 10.

Learn more : https://brainly.com/question/18796573

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