Since the rate is the same, we can solve this problem by applying the rule of three:
[tex]\begin{gathered} 414\text{ dollars ---- 18 hours} \\ x\text{ ---------- 13 hours} \end{gathered}[/tex]Then, x is equal to
[tex]\begin{gathered} x=\frac{(414)(13)}{18} \\ x=\frac{5382}{18} \\ x=299 \end{gathered}[/tex]Therefore, she will make $299 after 13 hours of work.
