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? s(x)=3,000 + 0.025(x - 250,000) s(x)=3,000 + 2.5(x - 250,000) s(x)=12(3,000)+0.025(x - 250,000) s(x)=12(3,000)+2.5(x - 250,000)

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? s(x)=3,000 + 0.025(x - 250,000) s(x)=3,000 + 2.5(x - 250,000) s(x)=12(3,000)+0.025(x - 250,000) s(x)=12(3,000)+2.5(x - 250,000)

Answer

Explanation:

Step1: Calculate annual base - salary

The telemarketer has a base - salary of $3000 per month. To find the annual base - salary, we multiply the monthly base - salary by 12. So the annual base - salary is $12\times3000$.

Step2: Calculate annual bonus

The bonus is 2.5% (or 0.025 in decimal form) of total sales above $250000. If the total sales is $x$ dollars and $x>250000$, the amount of sales above $250000$ is $(x - 250000)$, and the bonus amount is $0.025(x - 250000)$.

Step3: Find the annual salary function

The annual salary $S(x)$ is the sum of the annual base - salary and the annual bonus. So $S(x)=12(3000)+0.025(x - 250000)$.

Answer:

C. $S(x)=12(3000)+0.025(x - 250000)$