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.
1) What is the y-intercept? Response area
2) What does the y-intercept mean in context? Response area
3) What is the slope? Response area
4) What does the slope mean in context? Response area
5) If Adam made $45,000 total annual salary, how much was his total sales
1) The y-intercept is 38,000.
2) The y-intercept represents the base pay portion of Adam's annual salary. It is the amount of money Adam would earn if he made no sales at all.
3) The slope is 0.28.
4) The slope represents the commission rate that Adam earns on his total sales. For every dollar of total sales, Adam earns an additional 0.28 dollars in commission.
5) To find out how much Adam's total sales were, we can rearrange the equation to solve for x.
y = 0.28x + 38,000
45,000 = 0.28x + 38,000
7,000 = 0.28x
Divide both sides by 0.28:
25,000 = x
Adam's total sales were $25,000.