Question

Adam calculates his annual salary (base pay and commission), y, using the model y = 0.28x+38,000, where x represents his total sales for the year.(5 points) a) What is the y-intercept? b) What does the y-intercept mean in context? c) What is the slope? d) What does the slope mean in context?

Answer 1

e) If Adam made $45,000 total annual salary, how much was his total sales?

Answer 2

a) The y-intercept is 38,000.

b) The y-intercept of 38,000 represents Adam's base salary without any commission. In other words, even if Adam makes zero sales, his salary would still be 38,000.

c) The slope is 0.28.

d) The slope of 0.28 represents the rate at which Adam earns commission based on his total sales. For every dollar increase in sales, Adam earns an additional $0.28 in commission.

Answer 3

To find out Adam's total sales, we can set up the equation using the given total annual salary of $45,000:

45,000 = 0.28x + 38,000

Subtract 38,000 from both sides:

45,000 - 38,000 = 0.28x

7,000 = 0.28x

Now, divide both sides by 0.28 to solve for x:

x = 7,000 / 0.28

x = 25,000

Therefore, Adam's total sales for the year was $25,000.