We can model Max's income through an equation >>
[tex]I=1800+0.03S[/tex]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:
[tex]\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}[/tex]Thus, Max needs to sell $40,000 in order for his total income to be $3000.
Answer$40,000