Adam calculates his annual salary (base pay and commission), y, using the model y = 0.28x + 38000 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? ___

1 answer

a) The y-intercept is 38000.

b) The y-intercept, 38000, represents Adam's base salary, or the amount he would earn even if he did not make any sales.

c) The slope is 0.28.

d) The slope of 0.28 represents the commission rate that Adam earns on his total sales. For every dollar of sales he makes, he earns 28 cents in commission.

e) To find Adam's total sales when he made $45,000, we substitute y = 45000 into the equation and solve for x:
45000 = 0.28x + 38000
7000 = 0.28x
x = 7000 / 0.28
x = 25000
Therefore, Adam's total sales for the year were $25,000.