He has two different options:
1) He can earn $600 plus a 5% sales commission, or
2) He can ear $450 plus a 7% sales commission.
The option 1, where x is the sales amount per month, can be writen as:
[tex]S_1(x)=600+0.05x_{}[/tex]
The option 2 can be written as:
[tex]S_2(x)=450+0.07x[/tex]
Both salaries are equal when S1(x)=S2(x), so we can use this equality to solve for x:
[tex]\begin{gathered} S_1(x)=S_2(x) \\ 600+0.05x=450+0.07x \\ 600-450=0.07x-0.05x \\ 150=0.02x \\ x=\frac{150}{0.02} \\ x=7500 \end{gathered}[/tex]
The salary for x=7500, we can calculate as:
[tex]y=600+0.05\cdot7500=600+375=975[/tex]
Answer:
Equation 1: y=600+0.05x
Equation 2: y=450+0.07x
The solution is x=7500, representing $7500 in sales.
Anthony will earn $975.
