If the price selling a pair of shoes is represented by the expression (300-x), what is the revenue function?

To determine the revenue function from the given expression for the price of a pair of shoes, it's essential to recognize how revenue is calculated in relation to price and quantity sold. The revenue generated from selling a product is determined by the price at which the product is sold multiplied by the number of units sold.

In this case, the price per pair of shoes is given by the expression ( (300 - x) ), where ( x ) typically represents the number of shoes sold (or a variable that could change the price as sales change). To find the revenue, we multiply the price by the quantity sold.

Thus, the revenue function can be expressed as:

[ \text{Revenue} = \text{Price} \times \text{Quantity Sold} = (300 - x) \times x ]

This leads directly to the expression ( x(300 - x) ), which effectively captures the total revenue based on the number of sales and the decreasing price as quantity increases.

The result ( x(300 - x) ) is the correct representation for the revenue function because it combines the dynamic price variation with the quantity being sold in a straightforward multiplicative relationship.