Question

Gabriel has been hired as a car salesman. He will be paid a salary of $4,000 plus $50 in commission for every car he sells each week. Write an equation to represent his weekly paycheck, where "P" is the total amount being paid and "C" represents the number of cars.

A) P = 50C
B) P = 4000C
C) P = 50C + 4000
D) P = 4000 + 50C

Answer 1

To represent Gabriel's weekly paycheck, the linear equation used is P = 4000 + 50C, where 'P' is the total amount paid and 'C' is the number of cars sold.

Step-by-step explanation:

Gabriel's weekly paycheck can be calculated using a linear equation which includes a fixed salary component and a variable commission component based on the number of cars sold. The fixed salary is $4,000, and the commission is $50 for each car sold. To represent Gabriel's weekly paycheck P, where C is the number of cars, the equation is given by P = 4000 + 50C. Therefore, the correct option is D) P = 4000 + 50C. This equation ensures that even if Gabriel does not sell any cars in a week, he still earns his fixed salary of $4,000, and for each car he sells, his earnings increase by $50.