Chapter 6, Problem 11CCSR

To determine

To find the value in the domain of the given function that represents the employee’s total sales in a conic company.

Answer to Problem 11CCSR

$430,000 & option C is correct.

Explanation of Solution

Given information:

Employee’s total sales are $E=0.05s+30,000$ , where $s$ is the employee’s total sales in dollars.

All new employees earned between $50,000 and $60,000 last year.

Calculation:

Given that,

  $\begin{array}{l}50,000<E<60,000\\ \Rightarrow 50,000<0.05s+30,000<60,000\\ \Rightarrow 50,000-30,000<0.05s+30,000-30,000<60,000-30,000\\ \Rightarrow 20,000<0.05s<30,000\\ \Rightarrow \frac{20,000}{0.05}<\frac{0.05s}{0.05}<\frac{30,000}{0.05}\\ \Rightarrow 400,000<s<600,000\end{array}$

Therefore $430,000 lies in the domain of given function.

Hence option C is correct.