1) The y-intercept is 38,000.
2) The y-intercept represents Adam's base pay, or the amount of money he makes without any sales. It is the fixed amount that he receives regardless of his total sales.
3) The slope is 0.28.
4) The slope represents the commission rate, or the percentage of total sales that Adam receives as additional pay. For every dollar of sales, Adam earns 0.28 cents as commission.
5) To find the total sales, we can substitute the given salary, $45,000, into the equation and solve for x:
45,000 = 0.28x + 38,000
7,000 = 0.28x
Dividing both sides by 0.28:
x = 25,000
Therefore, Adam's total sales for the year were $25,000.
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?
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?
1 answer