Final answer:
The linear function to model the salesperson’s weekly salary, S(x), can be expressed as: S(x) = 50 + 0.12x
Step-by-step explanation:
The linear function to model the salesperson’s weekly salary, S(x), can be expressed as:
S(x) = 50 + 0.12x
Where:
S(x) represents the salesperson’s weekly salary
50 is the fixed weekly amount
0.12x represents the commission earned on each car sold
In this equation, the fixed amount of $50 is added to the product of the commission rate (12%) and the number of cars sold (x).
This linear function reflects a direct relationship between the number of cars sold and the salesperson’s weekly salary. As the number of cars sold increases, the salesperson’s weekly salary also increases proportionally due to the commission earned on each sale.
Therefore, the linear function S(x) provides a clear representation of how the salesperson’s weekly salary is determined based on the number of cars sold.
Complete question:
A car salesman earns $50 weekly plus 12% commission on every car he sells. Let x = number of cars and y = money
Write a linear function to model the salesperson's weekly salary S(x)