Question

Shannon sells windows. She is paid a commission of 7.69% of her first 1600 in sales during the week and 12% on all sales over 1600. What is her commission in a week during which she sells 3437.42 worth of windows? Express your answer as a dollar amount and round to the nearest cent

Answer 1

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:

`3437.42-1600=1837.42`

Then, the equation is:

`Comission=(1600)((7.69)/(100))+(1837.42)((12)/(100))`

Remember that a percent can be converted to a Decimal Number by dividing it by 100.

Therefore, evaluating, you get:

`Comission=(1600)(0.0769)+(1837.42)(0.12)`
`\begin{gathered} Comission=(1600)(0.0769)+(1837.42)(0.12) \\ \\ Comission=123.04+220.4904 \end{gathered}`
`\begin{gathered} Comission=343.5304 \\ Comission\approx343.53 \end{gathered}`

Hence, the answer is: $343.53