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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.

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Answer:

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

Step-by-step 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.

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