Answered

Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Explore our Q&A platform to find in-depth answers from a wide range of experts in different fields. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The following table contains the rate of commission, number of items sold, and cost of each item for four different salespeople.

\begin{tabular}{|l|l|l|l|}
\hline Salesperson & \begin{tabular}{l}
Rate of \\
commission
\end{tabular} & \begin{tabular}{l}
Number of \\
Items sold
\end{tabular} & \begin{tabular}{l}
Cost of \\
each item
\end{tabular} \\
\hline Arturo & [tex]$6.25 \%$[/tex] & 8 & [tex]$\$[/tex] 70[tex]$ \\
\hline Dean & $[/tex]5.50 \%[tex]$ & 14 & $[/tex]\[tex]$ 30$[/tex] \\
\hline Ruth & [tex]$6.50 \%$[/tex] & 7 & [tex]$\$[/tex] 80[tex]$ \\
\hline Salena & $[/tex]6.75 \%[tex]$ & 15 & $[/tex]\[tex]$ 20$[/tex] \\
\hline
\end{tabular}

Assuming that each salesperson earned commission on all items he or she sold, who earned the most in commission?

A. Salena
B. Arturo
C. Ruth
D. Dean

Sagot :

GinnyAnswer
Let's determine who earned the most commission by following these steps for each salesperson:

1. Calculate the total sales for each individual:
- Multiply the number of items sold by the cost of each item.

2. Calculate the commission:
- Multiply the total sales by the rate of commission (expressed as a decimal).

3. Compare the commissions to find who earned the most.

Let's go through the calculations for each salesperson:

### Arturo:
- Rate of commission: 6.25%
- Number of items sold: 8
- Cost of each item: \[tex]$70 \[ \text{Total sales for Arturo} = 8 \times 70 = \$[/tex]560
\]
[tex]\[ \text{Commission earned by Arturo} = 560 \times \frac{6.25}{100} = 560 \times 0.0625 = \$35.00 \][/tex]

### Dean:
- Rate of commission: 5.50%
- Number of items sold: 14
- Cost of each item: \[tex]$30 \[ \text{Total sales for Dean} = 14 \times 30 = \$[/tex]420
\]
[tex]\[ \text{Commission earned by Dean} = 420 \times \frac{5.50}{100} = 420 \times 0.055 = \$23.10 \][/tex]

### Ruth:
- Rate of commission: 6.50%
- Number of items sold: 7
- Cost of each item: \[tex]$80 \[ \text{Total sales for Ruth} = 7 \times 80 = \$[/tex]560
\]
[tex]\[ \text{Commission earned by Ruth} = 560 \times \frac{6.50}{100} = 560 \times 0.065 = \$36.40 \][/tex]

### Salena:
- Rate of commission: 6.75%
- Number of items sold: 15
- Cost of each item: \[tex]$20 \[ \text{Total sales for Salena} = 15 \times 20 = \$[/tex]300
\]
[tex]\[ \text{Commission earned by Salena} = 300 \times \frac{6.75}{100} = 300 \times 0.0675 = \$20.25 \][/tex]

### Comparing Commissions:

- Arturo: \[tex]$35.00 - Dean: \$[/tex]23.10
- Ruth: \[tex]$36.40 - Salena: \$[/tex]20.25

The highest commission was earned by Ruth with \$36.40. Therefore, the salesperson who earned the most in commission is:

C. Ruth
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.