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: Rewrite the given equation

Start with $y - 3000=0.25(x - 10000)$. Expand the right - hand side: $y-3000 = 0.25x-2500$.

Step2: Solve for $y$

Add 3000 to both sides of the equation: $y=0.25x - 2500+3000$. So, $y = 0.25x + 500$. This is the revenue function in terms of tiles sold.

Step3: Find the flat - fee

The revenue function is in the form $y=mx + b$, where $m$ is the price per tile and $b$ is the flat - fee. Comparing $y = 0.25x+500$ with $y=mx + b$, the flat - fee $b = 500$.