a telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above…

a telemarketer earns a base salary of $3,000 per month, plus an annual bonus of 2.5% of total sales above $250,000. which function represents the annual salary for total sales of x dollars, where x is greater than $250,000?\n\n$s(x)=3,000 + 0.025(x - 250,000)$\n$s(x)=3,000 + 2.5(x - 250,000)$\n$s(x)=12(3,000)+0.025(x - 250,000)$\n$s(x)=12(3,000)+2.5(x - 250,000)$
Answer
Answer:
C. $S(x)=12(3000)+0.025(x - 250000)$
Explanation:
Step1: Calculate annual base - salary
The base salary is $3000$ per month. So the annual base - salary is $12\times3000$ since there are 12 months in a year.
Step2: Calculate annual bonus
The bonus is 2.5% (or 0.025 in decimal form) of total sales above $250000$. The amount of sales above $250000$ is $(x - 250000)$. So the bonus is $0.025(x - 250000)$.
Step3: Determine annual salary function
The annual salary $S(x)$ is the sum of the annual base - salary and the annual bonus. So $S(x)=12(3000)+0.025(x - 250000)$.