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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 $25,000 \$ 25,000 . 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, E E , when they bill s s dollars in total sales?\newlineChoose 11 answer:\newline(A) E(s)=0.1025,000s E(s)=0.10 \cdot 25,000 \cdot s \newline(B) E(s)=25,000+0.10s E(s)=25,000+0.10 s \newline(C) E(s)=0.10+25,000s E(s)=0.10+25,000 s \newline(D) E(s)=25,0000.10s E(s)=\frac{25,000}{0.10} s

Full solution

Q. A cellular phone salesperson earns an annual base salary of $25,000 \$ 25,000 . 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, E E , when they bill s s dollars in total sales?\newlineChoose 11 answer:\newline(A) E(s)=0.1025,000s E(s)=0.10 \cdot 25,000 \cdot s \newline(B) E(s)=25,000+0.10s E(s)=25,000+0.10 s \newline(C) E(s)=0.10+25,000s E(s)=0.10+25,000 s \newline(D) E(s)=25,0000.10s E(s)=\frac{25,000}{0.10} s
  1. Identify Components: Let's identify the components of the salesperson's total annual earnings. The salesperson has a base salary and earns additional commission based on their sales.
  2. Base Salary: The base salary is a fixed amount of $25,000\$25,000 annually, which does not depend on the sales made.
  3. Calculate Commission: The commission is 10%10\% of the total sales. To calculate the commission, we multiply the total sales by 10%10\% or 0.100.10.
  4. Calculate Total Earnings: The total annual earnings, EE, is the sum of the base salary and the commission. So, we add the base salary to the commission earned from the total sales ss.
  5. Total Earnings Function: The correct function for the total annual earnings based on total sales ss would be E(s)=E(s) = base salary + commission on sales. This translates to E(s)=$(25,000)+0.10×sE(s) = \$(25,000) + 0.10 \times s.
  6. Match Correct Function: Now, let's match our function with the given options. The correct function is E(s)=25,000+0.10×sE(s) = 25,000 + 0.10 \times s, which corresponds to option (B).

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