Question

Max earns $1.800 per month plus a commission of 3% of his sales. Hewants to earn at least $3000 this month. What amount of sales does Maxneed this monthCan

Answer 1

We can model Max's income through an equation >>

$I=1800+0.03S$

Where

"I" is his total income (fixed salary of 1800 and 3% commission on sales)

"S" is the total amount of sales he does

Note: 0.03 is the decimal form of 3%

We are given that "he needs an income of 3000" . So, I = 3000.

We need to know the "sales" amount for this income, thus, we need to find "S".

Let us substitute I = 3000 and solve for "S". The steps are shown below:

$\begin{gathered} I=1800+0.03S \\ 3000=1800+0.03S \\ 0.03S=3000-1800 \\ 0.03S=1200 \\ S=\frac{1200}{0.03} \\ S=\ 40,000 \end{gathered}$

Thus, Max needs to sell $40,000 in order for his total income to be $3000.

Answer$40,000