Chapter 3.4, Problem 1AYU

Translate the following sentence into a mathematical equation: The total revenue $R$ from selling $x$ hot dogs is $\$3$ times the number of hot dogs sold. (p. A66)

To determine

The mathematical formula of the given statement.

Answer to Problem 1AYU

Solution:

$R=3x$

Explanation of Solution

Given:

The given statement is “the total revenue $\text{R}$ from selling x hot dogs is \$3 times the number of hot dogs sold.”

We know that the revenue is the product of the unit selling price, p and the number of products sold, x.

Here, we have the unit selling price $p=3$, and the number of hot dogs sold is x.

Therefore, the revenue from selling the hot dogs is

$R=p\times x=3x$