Chapter 8.2, Problem 66STP

To determine

To write: The function to describe the salesperson’s income, and find the sale.

Answer to Problem 66STP

The equation of income is $\text{Income}=10h+0.1S$ , and sale is $6000$ .

Explanation of Solution

Given:

The earning is $\$10$ , and commission is $10\%$ .

Calculation:

If the sales man work for $h$ hours and get $S$ sales then his income will be as follows.

  $\begin{array}{c}\text{Income}=h\times 10+S\times \frac{10}{100}\\ =10h+0.1S\end{array}$

If the sales person works for $40$ hours and his income is $\$1000$ .

Substitute $40$ for $h$ , and $1000$ for income in the equation $\text{Income}=10h+0.1S$ .

  $\begin{array}{c}\text{1000}=10\left(40\right)+0.1\left(S\right)\\ 0.1S=1000-400\\ 0.1S=600\\ S=6000\end{array}$

Therefore, the equation of income is $\text{Income}=10h+0.1S$ , and sale is $6000$ .