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? 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?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 Adam's base pay. It is the fixed amount of money he earns annually regardless of his total sales.
3) The slope is 0.28.
4) The slope represents the commission rate that Adam earns on his total sales. For every dollar of sales he makes, he earns 0.28 dollars in commission.
5) To find out the total sales, we can rearrange the equation to solve for x. The equation becomes x = (y - 38,000) / 0.28. Plugging in y = 45,000, we have x = (45,000 - 38,000) / 0.28, which simplifies to x ≈ 25,000. Thus, Adam's total sales were approximately $25,000.