8. A salesperson's commission is k percent of the selling price of a car. Which of the following represents the commission, in dollars, on 2 cars that sold for $14,000 each?
Answer: A
The commission on 2 cars sold for $14,000 each is 280k dollars.
The total selling price for two cars at $14,000 each is $28,000. The commission is calculated as k percent of the total selling price, which results in 280k dollars.
A) 280k
This option correctly represents the commission on two cars sold for $14,000 each. Since the total selling price is $28,000, applying k percent results in a commission of 280k dollars.
B) 28,000k
This option incorrectly calculates the commission by treating k as a fixed dollar amount rather than a percentage. The correct calculation involves applying k percent to the total selling price, not multiplying the total price by k.
C) 14,000/(100+2k)
This option is incorrect because it suggests a formula that does not accurately reflect the calculation of commission based on the percentage. The commission should be a straightforward percentage of the total selling price rather than divided by a sum involving k.
D) (28,000+k)/100
This option misrepresents the calculation by incorrectly adding k to the total selling price before dividing by 100. The commission should be calculated as k percent of the total price, not as a sum divided by 100.
Conclusion
The correct answer, 280k, accurately calculates the commission based on the total selling price of both cars. All other options fail to appropriately apply the concept of percentage commission, leading to incorrect representations of the commission amount.