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?
Responses
the y-intercept represents Adam's base pay
the y-intercept represents Adam's base pay
the y-intercept represents the highest salary Adam can earn
the y-intercept represents the highest salary Adam can earn
the y-intercept represents Adam's total sales when he earned no commission
the y-intercept represents Adam's total sales when he earned no commission
the y-intercept represents Adam's commission pay when he had zero total sales
the y-intercept represents Adam's base pay
The correct answer is:
The y-intercept represents Adam's base pay.
The correct answer is: the y-intercept represents Adam's base pay.
To explain how to get this answer, we need to understand the equation of the model y = 0.28x + 38,000. In this equation, y represents Adam's annual salary, x represents his total sales for the year, 0.28 represents the commission rate (0.28x represents his commission pay), and 38,000 represents Adam's base pay.
The y-intercept of the equation is the value where x = 0. In other words, it is the value of y when Adam has made zero sales.
Since the equation does not involve any terms with x, the y-intercept is simply the constant term, which is 38,000. Therefore, the y-intercept represents Adam's base pay.