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. What is the meaning of the y-intercept in the model?
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?
A. The y-intercept represents Adam's base pay
B. The y-intercept represents the highest salary Adam can earn
C. The y-intercept represents Adam's total sales when he earned no commission
D. The y-intercept represents Adam's commission pay when he had zero total sales
1) The y-intercept is $38,000.
2) The y-intercept represents Adam's base pay in the model. This means that even if Adam does not make any sales (x=0), he will still earn a salary of $38,000.
3) The slope is 0.28.
4) The slope means that for every dollar increase in total sales, Adam's annual salary will increase by $0.28.
5) To find the total sales when Adam made $45,000, we set y equal to $45,000 and solve for x: 45,000 = 0.28x + 38,000. Solving this equation, we find x = $28,571.43. Therefore, Adam's total sales were approximately $28,571.43.
2) What does the y-intercept mean in context? 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?
answers
$50,600, The increase in salary per total sales, (0,0.28), 2/8, $7,000, $25,000, Adam's base salary
2) The y-intercept represents Adam's base pay in the model. This means that even if Adam does not make any sales, he will still earn a salary of $38,000.
4) The slope represents the increase in salary per total sales. In this case, for every dollar increase in total sales, Adam's annual salary will increase by $0.28.
5) To find the total sales when Adam made $45,000, we can set y equal to $45,000 in the equation y = 0.28x + 38,000 and solve for x.
45000 = 0.28x + 38000
45000 - 38000 = 0.28x
7000 = 0.28x
x = 7000 / 0.28
x = 25000
Therefore, if Adam made $45,000 as his total annual salary, his total sales would be $25,000.
so is 4) What does the slope mean in context?
The increase in salary per total sales, (0,0.28), 2/8, or Adam's base salary
The slope in this context represents the increase in salary per total sales. Specifically, it means that for every dollar increase in total sales, Adam's annual salary will increase by $0.28.
so is 2) What does the y-intercept mean in context?
Adam's base salary, (0,0.28), 2/8, $7,000, or $50,600