Question

Please help me!

You are offered a job as a sales professional. You are offered a monthly base (fixed) salary of $1,000 plus 30% of the total sales you make for the month.

1) Write a linear function that represents your monthly income.

2) What is the slope? What does it mean in this context?

3) What is the y-intercept? What does it mean in this context?

4) BONUS (1 pt) If you sell $5,000 worth of product, what is your monthly income?

Answer 1

1) y = 0.3x + 1000

2) slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3) y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4) The salary is $2500

Explanation:

1)

monthly salary = fixed part + variable part

The fixed part is $1000. Every month you receive $1000 no matter the amount of sales.

The variable part varies according to the amount of sales. You get 30% of the of the monthly sales. Let the monthly sales be x. The variable part is 0.3x

Let the monthly salary = y.

y = 1000 + 0.3x

y = 0.3x + 1000

2)

slope = 0.3

The slope is the fraction of the monthly sales that is added to your salary.

3)

y-intercept = 1000

The y-intercept is the fixed part of the salary, $1000.

4)

In this case, x = 5000

y = 0.3x + 1000

y = 0.3(5000) + 1000

y = 1500 + 1000

y = 2500

The salary is $2500.