Solution:
Given:
[tex]\begin{gathered} Base\text{ salary}=\text{ \$}600 \\ commission=13\text{ \%}=\frac{13}{100}=0.13 \end{gathered}[/tex]
Part A:
The linear function S(x) is given by;
[tex]S(x)=600+0.13x[/tex]
Part B:
S(6000) is when x = 6000, the weekly salary is;
[tex]\begin{gathered} S(x)=600+0.13x \\ S(6000)=600+0.13(6000) \\ S(6000)=600+780 \\ S(6000)=\text{ \$}1380 \end{gathered}[/tex]
The interpretation:
The sales person's weekly salary when a sales of $6,000 was made is $1,380
