Question

Assume that a sales executive receives a base monthly salary of $600 plus on 8.25% commission on total sales per month. Express this situation in equation form, and find the executive total sales during a month in which he/she receives total compensation of $4109.55.

Answer 1

We are given the following information

Base monthly salary = $600

Commission on total sales per month = 8.25% = 0.0825

Let y represent the total compensation of the executive.

Let x represent the total sales per month of the executive.

Then we can write the following equation

`y=1.0825x+600`

Here 1.0825 represents the addition of the commission amount.

We are asked to find the executive total sales during a month in which he/she receives total compensation of $4109.55

This means that we need to find x for a given y = $4109.55

`\begin{gathered} y=1.0825x+600 \\ 4109.55=1.0825x+600 \\ 4109.55-600=1.0825x \\ 3509.55=1.0825x \\ (3509.55)/(1.0825)=x \\ 3242.08=x \\ x=\$3242.08 \end{gathered}`

Therefore, the total sales during the month were $3242.08