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)
1) What is the y-intercept?
2) What does the y-intercept mean in context?
3) What is the slope?
4) What does the slope mean in context?
5) If Adam made $45,000 total annual salary, how much was his total sales?
Word bank:
$25,000
2/8
The increase in salary per total sales
Adam's base salary
$7,000
0.28
50,600
(0, 0.28)
(0, 38,000)
1) The y-intercept is 38,000.
2) The y-intercept represents Adam's base salary, which is the amount he earns regardless of his total sales.
3) The slope is 0.28.
4) The slope represents the increase in salary per total sales. For every dollar increase in total sales, Adam's salary increases by 0.28 dollars.
5) Let's substitute y = 45,000 into the equation and solve for x:
45,000 = 0.28x + 38,000
7,000 = 0.28x
x = 7,000 / 0.28
x = 25,000
Therefore, Adam's total sales were $25,000.
Only use the word bank answers once
1) The y-intercept is 38,000.
2) The y-intercept means Adam's base salary.
3) The slope is 0.28.
4) The slope means the increase in salary per total sales.
5) If Adam made $45,000 total annual salary, his total sales would be $25,000.