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A cellular phone salesperson earns an annual base salary of $25,000. Additionally, the salesperson earns a 10% commission on their total sales. Which of the following functions best models the salesperson's total annual earnings, E, when they bill s dollars in total sales? Choose 1 answer: (A) E(s)=0.10*25,000*s (B) E(s)=25,000+0.10 s (C) E(s)=0.10+25,000 s (D) E(s)=(25,000)/(0.10)s

A cellular phone salesperson earns an annual base salary of $25\$25,000000. Additionally, the salesperson earns a 10%10\% commission on their total sales. Which of the following functions best models the salesperson's total annual earnings, EE, when they bill ss dollars in total sales?\newlineChoose 11 answer:\newline(A) E(s)=0.10⋅25,000⋅sE(s) = 0.10 \cdot 25,000 \cdot s\newline(B) E(s)=25,000+0.10sE(s) = 25,000 + 0.10s\newline(C) E(s)=0.10+25,000sE(s) = 0.10 + 25,000s\newline(D) E(s)=25,0000.10sE(s) = \frac{25,000}{0.10}s

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Q. A cellular phone salesperson earns an annual base salary of $25\$25,000000. Additionally, the salesperson earns a 10%10\% commission on their total sales. Which of the following functions best models the salesperson's total annual earnings, EE, when they bill ss dollars in total sales?\newlineChoose 11 answer:\newline(A) E(s)=0.10⋅25,000⋅sE(s) = 0.10 \cdot 25,000 \cdot s\newline(B) E(s)=25,000+0.10sE(s) = 25,000 + 0.10s\newline(C) E(s)=0.10+25,000sE(s) = 0.10 + 25,000s\newline(D) E(s)=25,0000.10sE(s) = \frac{25,000}{0.10}s
  1. Understand earnings components: Understand the components of the salesperson's earnings. The salesperson has a fixed annual base salary and a variable component that is a percentage of their total sales. The base salary is $25,000\$25,000, and the commission is 10%10\% of the total sales.
  2. Translate into mathematical function: Translate the components into a mathematical function.\newlineThe total earnings EE will be the sum of the base salary and the commission. The commission is 10%10\% of the total sales ss, which is represented as 0.10×s0.10 \times s. Therefore, the function should add the base salary to the commission.
  3. Identify correct function: Identify the correct function from the given options.\newlineThe function should start with the base salary and then add the commission. The commission is calculated by multiplying the sales ss by 0.100.10. The correct function is E(s)=E(s) = base salary ++ commission, which translates to E(s)=25,000+0.10×sE(s) = 25,000 + 0.10 \times s.
  4. Match with given options: Match the correct function with the given options.\newlineOption (A) E(s)=0.10×25,000×sE(s) = 0.10 \times 25,000 \times s is incorrect because it multiplies the base salary by the commission rate and sales, which is not the correct representation of the earnings.\newlineOption (B) E(s)=25,000+0.10×sE(s) = 25,000 + 0.10 \times s is correct because it adds the base salary to the commission, which is 10%10\% of sales.\newlineOption (C) E(s)=0.10+25,000×sE(s) = 0.10 + 25,000 \times s is incorrect because it adds the commission rate to the product of the base salary and sales, which does not make sense in this context.\newlineOption (D) E(s)=(25,000)/(0.10)×sE(s) = (25,000) / (0.10) \times s is incorrect because it divides the base salary by the commission rate and then multiplies by sales, which is not the correct representation of the earnings.

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