Question

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) Put responses in the correct input to answer the question.

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?

Answer 1

[AI-generated answer — Bot GPT 3.5]

1) The y-intercept is 38,000.

2) The y-intercept represents Adam's base pay, which is the fixed amount he earns 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 an additional 0.28 cents.
5) To find out Adam's total sales, we can substitute the value of his total annual salary ($45,000) into the equation and solve for x.

45,000 = 0.28x + 38,000

Subtracting 38,000 from both sides:

7,000 = 0.28x

Dividing both sides by 0.28:

x = 25,000

So, Adam's total sales for the year would be $25,000.