Question

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 1

Flat fee is computed by:

The sales price of each tile is 0.25 and the customer only bought 10,000 tiles.
So, $0.25 x 10,000 = $2500
So the total sales price per tile sold was $2,500.

The buyer paid $3,000, so the flat fee was included there.
So, $3,000 - $2,500 = $500

So the flat fee was $500.
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The revenue function is the total income from producing the units. And it has a equation of: R(x) = price per unit x number of units sold plus any fee that is included

So the function describing the revenue of the tile from this sale is:
R(x) = 0.25x + 500

Answer 2

Answer:

Step-by-step explanation:

Answer:

The flat fee was $500.

R(x) = 0.25x + 500

Step-by-step explanation:

Since the sales price of each tile is 0.25

The customer bought 10,000 tiles

So, cost of 10,000 tiles = 0.25*10000

                                      =$2500

We are given that the customer paid $3,000

So the flat fee =$3,000 - $2,500

                       = $500

Thus the flat fee was $500.

Equation of revenue R(x) = (price per unit x number of units sold )+ flat fee

R(x) = 0.25x + 500

Thus  function describes the revenue of the tile factory in terms of tiles sold:

R(x) = 0.25x + 500