Chapter 1.7, Problem 14E

In Exercises 11−14, choose a variable and write a mathematical expression for the quantity described verbally.

14. Profit The profit consists of a franchise fee of $200,000 plus 12% of all sales.

Solution

Choose a variable and write a mathematical expression for the quantity described verbally.

  $x-0.12y=200000$

Given:

The profit consists of a franchise fee of $200,000 plus 12% of all sales.

Calculation:

Let profit $=x$

Let the total sales $=y$

According to question -

The profit consists of a franchise fee of $200,000 plus 12% of all sales.

  $\begin{array}{l}profit(x)=200000+\frac{12}{100}y\\ x=200000+0.12y\\ x-0.12y=200000\end{array}$

  $x-0.12y=200000$