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

Answer 1

[AI-generated answer — Bot GPT 3.5]

a) The y-intercept is 38,000.

b) The y-intercept of 38,000 represents Adam's base pay, which is the fixed amount he earns regardless of his total sales.

c) The slope is 0.28.

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

e) To find out Adam's total sales when he made $45,000 in total annual salary, we can set y = 45,000 and solve for x:

45,000 = 0.28x + 38,000
7,000 = 0.28x
x = 25,000

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