Question

A sales executive for a financial firm earns a base salary of $3,000 per month plus a commission of 2% on all sales s in dollars. Find a linear model for the total monthly salary T (in dollars) earned by the executive in terms of the total sales s.T = ________How much will the executive earn (in dollars) in a month for which sales were $90,000?$ __________

Answer 1

$\begin{gathered} T=3000+0.02s \\ 4800 \end{gathered}$

Explanation

Step 1

set the equation

let s represent the total sales

let T represents the monthly salary

so,

monthly salary= base salary + commisions

replace

T=3000+(2 % of the sales)

$\begin{gathered} T=3000+\frac{2}{100}s \\ T=3000+0.02s \end{gathered}$

Step 2

now, to know how much money the salary will be,

Let

sales= s= 90000

$\begin{gathered} T=3000+0.02s \\ T=3000+0.02(90000) \\ T=3000+1800 \\ T=4800 \\ 4800 \end{gathered}$

I hope this helps you