Question

This year, Theron got a new job at Tom's Totally Awesome Car Haus, and they gave him a $15,000 bonus on top of a 6% commission. a. Express his earnings—his bonus and commission—as an algebraic expression, where n represents the number of cars sold and p represents the price of the cars.

Answer 1

The algebraic expression for Theron's earnings is: {[n × p] × 6%} + 15000.

Explanation:

The information provided are:

• Theron was given a 6% commission for every sale made by him.
• On top of this commission he was given a bonus of $15,000.
• The variable n represents the number of cars sold.
• The variable p represents the price of the cars.

The expression representing the total sale made is as follows:

TS = number of cars sold × price of the cars

= n × p

Then the expression representing the total commission earned by Theron is:

C = TS × 6%

= [n × p] × 6%

The total earning of Theron is:

Total Earning = Total Commission + Total Bonus

= {[n × p] × 6%} + 15000

Thus, the algebraic expression for Theron's earnings is: {[n × p] × 6%} + 15000.