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3102.1.2: Write an equation sym
Trevor Benjamin is a salesperson who is paid a monthly salary of 
$500 olus 
2% commission on sales. Write an equation that represents Trevor's monthly salary.
A. 
S=2x+500
B. 
S=500 x+.02
C. 
S=.02 x+500
D. 
S=.05 x+2

31023102.11.22: Write an equation sym\newlineTrevor Benjamin is a salesperson who is paid a monthly salary of $500 \$ 500 olus 2% 2 \% commission on sales. Write an equation that represents Trevor's monthly salary.\newlineA. S=2x+500 S=2 x+500 \newlineB. S=500x+.02 S=500 x+.02 \newlineC. S=.02x+500 S=.02 x+500 \newlineD. S=.05x+2 S=.05 x+2

Full solution

Q. 31023102.11.22: Write an equation sym\newlineTrevor Benjamin is a salesperson who is paid a monthly salary of $500 \$ 500 olus 2% 2 \% commission on sales. Write an equation that represents Trevor's monthly salary.\newlineA. S=2x+500 S=2 x+500 \newlineB. S=500x+.02 S=500 x+.02 \newlineC. S=.02x+500 S=.02 x+500 \newlineD. S=.05x+2 S=.05 x+2
  1. Trevor's Salary Components: Trevor's salary is made up of a fixed amount, $500\$500, and a variable amount, which is 2%2\% of his sales.
  2. Convert Percentage to Decimal: To represent the 2%2\% commission on sales, we convert the percentage to a decimal by dividing by 100100, so 2%2\% becomes 0.020.02.
  3. Equation for Trevor's Salary: Let's call Trevor's monthly sales ' extit{x}' and his total salary ' extit{S}'. The equation for his salary is extit{S} = 500+(0.02imesextitx)500 + (0.02 imes extit{x}).
  4. Matching Equation to Options: Now we match our equation to the options given. The correct equation is S=500+0.02xS = 500 + 0.02x, which is the same as S=0.02x+500S = 0.02x + 500.

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