Linear Models

Question

A salesperson recieves a base salary of $35,000 and a commission of 10% of the total sales for the year.

 

  a. Write a linear model that shows the salesperson's total income based on total sales for k dollars.

 

** I figured out already that y= Total Salary (I think) but I can't figure out what x would be. All I need is x and I'll be able to create an equation.

Answer 1

This is a basic linear equation, which is in the form of y=mx+b.

 

Y= total salary

x= k dollars of sales

m= 10% commission on sales dollars

b = base salary of $35,000

 

So, your equation will be y= .10k + $35,000.

 

 

Answer 2

Let k be dollars of total sales

then

total income = y =  base salary + commission salary = $35000 + 0.1*k

 

where k is the "x" or independent variable of the equation