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question 3 of 10 the following table contains the rate of commission, n…

Question

question 3 of 10
the following table contains the rate of commission, number of items sold,
and cost of each item for four different salespeople.

salespersonrate of commissionnumber of items soldcost of each item
curtis3.75%11$80
gloria4.75%5$140
hugo4.25%13$60

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

a. bridget
b. gloria
c. hugo
d. curtis

Explanation:

Step1: Recall the commission formula

Commission = (Rate of commission) × (Number of items sold) × (Cost of each item)

Step2: Calculate Bridget's commission

Rate = 4.50% = 0.045, Number = 18, Cost = $50
Commission = \( 0.045 \times 18 \times 50 \)
\( 0.045 \times 18 = 0.81 \), \( 0.81 \times 50 = 40.5 \)
Bridget's commission: $40.5

Step3: Calculate Curtis's commission

Rate = 3.75% = 0.0375, Number = 11, Cost = $80
Commission = \( 0.0375 \times 11 \times 80 \)
\( 0.0375 \times 80 = 3 \), \( 3 \times 11 = 33 \)
Curtis's commission: $33

Step4: Calculate Gloria's commission

Rate = 4.75% = 0.0475, Number = 5, Cost = $140
Commission = \( 0.0475 \times 5 \times 140 \)
\( 0.0475 \times 140 = 6.65 \), \( 6.65 \times 5 = 33.25 \)
Gloria's commission: $33.25

Step5: Calculate Hugo's commission

Rate = 4.25% = 0.0425, Number = 13, Cost = $60
Commission = \( 0.0425 \times 13 \times 60 \)
\( 0.0425 \times 60 = 2.55 \), \( 2.55 \times 13 = 33.15 \)
Hugo's commission: $33.15

Step6: Compare commissions

Bridget: $40.5, Curtis: $33, Gloria: $33.25, Hugo: $33.15
Bridget has the highest commission.

Answer:

A. Bridget