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

The function that describes the revenue of the tile factory in terms of tiles sold as y = 0.25x + 500.

The flat rate is $500.

Function

The function is defined as the relation between two variables.

Given information

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.

Let x be the number of tiles and y is the total cost to the customer.

The function that describes the revenue of the tile factory in terms of tiles sold as;

y – 3,000 = 0.25(x – 10,000)

y - 3000 = 0.25x - 2500

y = 0.25x - 2500 + 3000

y = 0.25x + 500

Hence, the function that describes the revenue of the tile factory in terms of tiles sold as y = 0.25x + 500.

To know more about the function click the link given below.

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