Q. 92 - Precalculus Enhanced with Graphing Utilities

Question

Constructing Functions Tiffany, a commissioned sales person, earns \(100 base pay plus \)10 per item sold. Express her gross salary G as a function of the number x of items sold.

Step-by-Step Solution

Answer

The gross salary $G\left(x\right)=10x+100$

Step 1. Given Information

Tiffany, a commissioned sales person, earns $100 base pay plus $10 per item sold. 

We have to express her gross salary G as a function of the number x of items sold.

Step 2. Tiffany base pay $100 plus $10 per item sold.

She sold $x$ items.

So her gross salary is

$G\left(x\right)=\mathrm{number} \mathrm{of} \mathrm{items}\times \mathrm{commission} \mathrm{on} \mathrm{per} \mathrm{item}+\mathrm{Base} \mathrm{pay}$

$$\begin{gathered} G\left(x\right)=x\times 10+100 \\ G\left(x\right)=10x+100 \end{gathered}$$