Given that:
- She is paid a commission of 7.69% of her first $1600 in sales during the week.
- She is paid 12% on all sales over $1600 in sales during the week.
If she sells $3437.42 worth of windows in a week, you can set up an equation to find her commission (in dollars) in that week.
Notice that:
[tex]3437.42-1600=1837.42[/tex]Then, the equation is:
[tex]Comission=(1600)(\frac{7.69}{100})+(1837.42)(\frac{12}{100})[/tex]Remember that a percent can be converted to a Decimal Number by dividing it by 100.
Therefore, evaluating, you get:
[tex]Comission=(1600)(0.0769)+(1837.42)(0.12)[/tex][tex]\begin{gathered} Comission=(1600)(0.0769)+(1837.42)(0.12) \\ \\ Comission=123.04+220.4904 \end{gathered}[/tex][tex]\begin{gathered} Comission=343.5304 \\ Comission\approx343.53 \end{gathered}[/tex]Hence, the answer is: $343.53