a tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. one…

a tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. one customer paid a total of $3,000 for 10,000 tiles. the equation $y - 3,000 = 0.25(x - 10,000)$ models the revenue of the tile factory, where $x$ is the number of tiles and $y$ is the total cost to the customer. which function describes the revenue of the tile factory in terms of tiles sold? what is the flat fee for delivery? $

a tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. one customer paid a total of $3,000 for 10,000 tiles. the equation $y - 3,000 = 0.25(x - 10,000)$ models the revenue of the tile factory, where $x$ is the number of tiles and $y$ is the total cost to the customer. which function describes the revenue of the tile factory in terms of tiles sold? what is the flat fee for delivery? $

Answer

Answer:

  1. $y = 0.25x + 500$
  2. $500$

Explanation:

Step1: Expand the given equation

$y - 3000=0.25(x - 10000)$ $y - 3000=0.25x-2500$

Step2: Solve for $y$

Add 3000 to both sides. $y=0.25x - 2500+3000$ $y = 0.25x+500$

Step3: Find the flat - fee

The equation of a line is $y=mx + b$, where $b$ is the y - intercept. In the context of the problem, the flat - fee is the y - intercept. When $x = 0$ (no tiles sold), the cost to the customer is the flat - fee. From $y = 0.25x+500$, the flat - fee is $500$.