Question
Sally earns graduated commission on her sales each month. She earns \( 6 \% \) commission on the first \( \$ 45,000 \) in sales and \( 8 \% \) on anything over that. If Sally had \( \$ 51,000 \) in sales this month, how much commission did she earn? a. \( \$ 4,080 \) b. \( \$ 3,180 \) c. \( \$ 3,060 \) d. \( \$ 2,820 \) Please select the best answer from the choices provided
Ask by Hamilton Chadwick. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Sally earned a total commission of \$3,180 this month.
Solution
We are given that Sally earns a commission of \(6\%\) on the first \(\$45,\!000\) in sales and \(8\%\) on any amount over that.
1. Calculate the commission for the first \(\$45,\!000\):
\[
\text{Commission}_1 = 0.06 \times 45,\!000 = 2,\!700.
\]
2. Determine the amount of sales over \(\$45,\!000\):
\[
\text{Excess Sales} = 51,\!000 - 45,\!000 = 6,\!000.
\]
3. Calculate the commission for the excess sales:
\[
\text{Commission}_2 = 0.08 \times 6,\!000 = 480.
\]
4. Sum the two commissions to find the total commission:
\[
\text{Total Commission} = 2,\!700 + 480 = 3,\!180.
\]
Thus, the best answer is \( \$3,\!180 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To calculate Sally's commission for the month, we can break her sales down into two parts. For the first \( \$ 45,000 \), she earns \( 6\% \): Commission on \( \$ 45,000 \) = \( 0.06 \times 45,000 = 2,700 \). For the remaining sales, which is \( 51,000 - 45,000 = 6,000 \), she earns \( 8\% \): Commission on \( \$ 6,000 \) = \( 0.08 \times 6,000 = 480 \). Now, adding these two amounts together gives: Total Commission = \( 2,700 + 480 = 3,180 \). So the answer is \( b. \, \$ 3,180 \). Feel free to try calculating another example with different numbers to practice your commission skills!
