Question

1. The salesman at a used car lot makes a base salary of $400 a week and a

1.5% commission on any sales that he made for the week. Write an
equation in slope-intercept form that represents the amount his paycheck
at the end of the week.
2. If the salesman sold an average of $40,000 worth of cars every week, how much would his weekly paycheck be?
3. How much would his annual (yearly) income be? (52 weeks a year)

Answer 1

The salesman's weekly paycheck is represented by the equation y = 0.015x + 400. With $40,000 in sales, the weekly paycheck is $1,000, leading to an annual income of $52,000.

Step-by-step explanation:

The equation in slope-intercept form that represents the salesman's paycheck at the end of the week is y = 0.015x + 400, where y is the total paycheck amount, and x is the amount in sales made for the week. The base salary is represented by the y-intercept (400), and the commission rate of 1.5% is the slope (0.015).

With an average sale of $40,000 worth of cars every week, the salesman's weekly paycheck would be y = 0.015(40,000) + 400 = 1000, resulting in a weekly paycheck of $1,000. To calculate his annual income, multiply the weekly paycheck by the number of weeks in a year: 1,000 x 52 = $52,000.